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Finding the Fourth Proportional to 8,412.71, 11,609.42 and 4,635.78

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Solution

The fourth proportional to 8,412.71, 11,609.42 and 4,635.78 is: 6,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.71 : 11,609.42 = 4,635.78 : x
  2. Step 2: Convert to fraction form
    8,412.71/11,609.42 = 4,635.78/x
  3. Step 3: Cross multiply
    8,412.71x = 11,609.42 × 4,635.78
  4. Step 4: Simplify right side
    8,412.71x = 53,818,693.87
  5. Step 5: Solve for x
    x = 53,818,693.87/8,412.71
  6. Step 6: Final answer
    x = 6,397.31

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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.