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Finding the Fourth Proportional to 10,497.14, 15,744.01 and 4,256.90

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Solution

The fourth proportional to 10,497.14, 15,744.01 and 4,256.90 is: 6,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.14 : 15,744.01 = 4,256.90 : x
  2. Step 2: Convert to fraction form
    10,497.14/15,744.01 = 4,256.90/x
  3. Step 3: Cross multiply
    10,497.14x = 15,744.01 × 4,256.90
  4. Step 4: Simplify right side
    10,497.14x = 67,020,736.40
  5. Step 5: Solve for x
    x = 67,020,736.40/10,497.14
  6. Step 6: Final answer
    x = 6,384.66

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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.