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Finding the Fourth Proportional to 10,000.32, 13,805.27 and 7,757.02

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Solution

The fourth proportional to 10,000.32, 13,805.27 and 7,757.02 is: 10,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.32 : 13,805.27 = 7,757.02 : x
  2. Step 2: Convert to fraction form
    10,000.32/13,805.27 = 7,757.02/x
  3. Step 3: Cross multiply
    10,000.32x = 13,805.27 × 7,757.02
  4. Step 4: Simplify right side
    10,000.32x = 107,087,755.50
  5. Step 5: Solve for x
    x = 107,087,755.50/10,000.32
  6. Step 6: Final answer
    x = 10,708.43

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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.