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Finding the Fourth Proportional to 10,231.65, 14,115.06 and 8,737.20

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Solution

The fourth proportional to 10,231.65, 14,115.06 and 8,737.20 is: 12,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.65 : 14,115.06 = 8,737.20 : x
  2. Step 2: Convert to fraction form
    10,231.65/14,115.06 = 8,737.20/x
  3. Step 3: Cross multiply
    10,231.65x = 14,115.06 × 8,737.20
  4. Step 4: Simplify right side
    10,231.65x = 123,326,102.23
  5. Step 5: Solve for x
    x = 123,326,102.23/10,231.65
  6. Step 6: Final answer
    x = 12,053.39

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1.5x scale

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.