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Finding the Fourth Proportional to 10,590.65, 14,572.19 and 8,695.25

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Solution

The fourth proportional to 10,590.65, 14,572.19 and 8,695.25 is: 11,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.65 : 14,572.19 = 8,695.25 : x
  2. Step 2: Convert to fraction form
    10,590.65/14,572.19 = 8,695.25/x
  3. Step 3: Cross multiply
    10,590.65x = 14,572.19 × 8,695.25
  4. Step 4: Simplify right side
    10,590.65x = 126,708,791.62
  5. Step 5: Solve for x
    x = 126,708,791.62/10,590.65
  6. Step 6: Final answer
    x = 11,964.21

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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.