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Finding the Fourth Proportional to 8,412.71, 11,609.54 and 4,877.97

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Solution

The fourth proportional to 8,412.71, 11,609.54 and 4,877.97 is: 6,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.71 : 11,609.54 = 4,877.97 : x
  2. Step 2: Convert to fraction form
    8,412.71/11,609.54 = 4,877.97/x
  3. Step 3: Cross multiply
    8,412.71x = 11,609.54 × 4,877.97
  4. Step 4: Simplify right side
    8,412.71x = 56,630,987.83
  5. Step 5: Solve for x
    x = 56,630,987.83/8,412.71
  6. Step 6: Final answer
    x = 6,731.60

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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.