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Finding the Fourth Proportional to 10,708.60, 14,767.50 and 8,349.88

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Solution

The fourth proportional to 10,708.60, 14,767.50 and 8,349.88 is: 11,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.60 : 14,767.50 = 8,349.88 : x
  2. Step 2: Convert to fraction form
    10,708.60/14,767.50 = 8,349.88/x
  3. Step 3: Cross multiply
    10,708.60x = 14,767.50 × 8,349.88
  4. Step 4: Simplify right side
    10,708.60x = 123,306,852.90
  5. Step 5: Solve for x
    x = 123,306,852.90/10,708.60
  6. Step 6: Final answer
    x = 11,514.75

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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.