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Finding the Fourth Proportional to 10,549.24, 14,551.86 and 6,823.24

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Solution

The fourth proportional to 10,549.24, 14,551.86 and 6,823.24 is: 9,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.24 : 14,551.86 = 6,823.24 : x
  2. Step 2: Convert to fraction form
    10,549.24/14,551.86 = 6,823.24/x
  3. Step 3: Cross multiply
    10,549.24x = 14,551.86 × 6,823.24
  4. Step 4: Simplify right side
    10,549.24x = 99,290,833.23
  5. Step 5: Solve for x
    x = 99,290,833.23/10,549.24
  6. Step 6: Final answer
    x = 9,412.13

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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.