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Finding the Fourth Proportional to 10,497.77, 15,731.21 and 6,056.78

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Solution

The fourth proportional to 10,497.77, 15,731.21 and 6,056.78 is: 9,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.77 : 15,731.21 = 6,056.78 : x
  2. Step 2: Convert to fraction form
    10,497.77/15,731.21 = 6,056.78/x
  3. Step 3: Cross multiply
    10,497.77x = 15,731.21 × 6,056.78
  4. Step 4: Simplify right side
    10,497.77x = 95,280,414.59
  5. Step 5: Solve for x
    x = 95,280,414.59/10,497.77
  6. Step 6: Final answer
    x = 9,076.25

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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.