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Finding the Fourth Proportional to 10,457.64, 15,691.32 and 6,559.92

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Solution

The fourth proportional to 10,457.64, 15,691.32 and 6,559.92 is: 9,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.64 : 15,691.32 = 6,559.92 : x
  2. Step 2: Convert to fraction form
    10,457.64/15,691.32 = 6,559.92/x
  3. Step 3: Cross multiply
    10,457.64x = 15,691.32 × 6,559.92
  4. Step 4: Simplify right side
    10,457.64x = 102,933,803.89
  5. Step 5: Solve for x
    x = 102,933,803.89/10,457.64
  6. Step 6: Final answer
    x = 9,842.93

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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.