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Finding the Fourth Proportional to 10,702.71, 14,769.72 and 6,510.96

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Solution

The fourth proportional to 10,702.71, 14,769.72 and 6,510.96 is: 8,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.71 : 14,769.72 = 6,510.96 : x
  2. Step 2: Convert to fraction form
    10,702.71/14,769.72 = 6,510.96/x
  3. Step 3: Cross multiply
    10,702.71x = 14,769.72 × 6,510.96
  4. Step 4: Simplify right side
    10,702.71x = 96,165,056.13
  5. Step 5: Solve for x
    x = 96,165,056.13/10,702.71
  6. Step 6: Final answer
    x = 8,985.11

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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.