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Finding the Fourth Proportional to 10,553.90, 15,836.31 and 7,656.12

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Solution

The fourth proportional to 10,553.90, 15,836.31 and 7,656.12 is: 11,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.90 : 15,836.31 = 7,656.12 : x
  2. Step 2: Convert to fraction form
    10,553.90/15,836.31 = 7,656.12/x
  3. Step 3: Cross multiply
    10,553.90x = 15,836.31 × 7,656.12
  4. Step 4: Simplify right side
    10,553.90x = 121,244,689.72
  5. Step 5: Solve for x
    x = 121,244,689.72/10,553.90
  6. Step 6: Final answer
    x = 11,488.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.