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Finding the Fourth Proportional to 10,548.24, 14,550.48 and 6,822.24

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Solution

The fourth proportional to 10,548.24, 14,550.48 and 6,822.24 is: 9,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.24 : 14,550.48 = 6,822.24 : x
  2. Step 2: Convert to fraction form
    10,548.24/14,550.48 = 6,822.24/x
  3. Step 3: Cross multiply
    10,548.24x = 14,550.48 × 6,822.24
  4. Step 4: Simplify right side
    10,548.24x = 99,266,866.68
  5. Step 5: Solve for x
    x = 99,266,866.68/10,548.24
  6. Step 6: Final answer
    x = 9,410.75

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.