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Finding the Fourth Proportional to 10,397.70, 15,573.95 and 6,449.93

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Solution

The fourth proportional to 10,397.70, 15,573.95 and 6,449.93 is: 9,660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.70 : 15,573.95 = 6,449.93 : x
  2. Step 2: Convert to fraction form
    10,397.70/15,573.95 = 6,449.93/x
  3. Step 3: Cross multiply
    10,397.70x = 15,573.95 × 6,449.93
  4. Step 4: Simplify right side
    10,397.70x = 100,450,887.32
  5. Step 5: Solve for x
    x = 100,450,887.32/10,397.70
  6. Step 6: Final answer
    x = 9,660.88

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