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Finding the Fourth Proportional to 9,383.94, 12,950.24 and 5,192.19

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Solution

The fourth proportional to 9,383.94, 12,950.24 and 5,192.19 is: 7,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.94 : 12,950.24 = 5,192.19 : x
  2. Step 2: Convert to fraction form
    9,383.94/12,950.24 = 5,192.19/x
  3. Step 3: Cross multiply
    9,383.94x = 12,950.24 × 5,192.19
  4. Step 4: Simplify right side
    9,383.94x = 67,240,106.63
  5. Step 5: Solve for x
    x = 67,240,106.63/9,383.94
  6. Step 6: Final answer
    x = 7,165.45

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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.