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Finding the Fourth Proportional to 10,807.65, 14,914.12 and 6,092.91

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Solution

The fourth proportional to 10,807.65, 14,914.12 and 6,092.91 is: 8,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.65 : 14,914.12 = 6,092.91 : x
  2. Step 2: Convert to fraction form
    10,807.65/14,914.12 = 6,092.91/x
  3. Step 3: Cross multiply
    10,807.65x = 14,914.12 × 6,092.91
  4. Step 4: Simplify right side
    10,807.65x = 90,870,390.89
  5. Step 5: Solve for x
    x = 90,870,390.89/10,807.65
  6. Step 6: Final answer
    x = 8,407.97

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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.