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Finding the Fourth Proportional to 8,404.71, 11,602.49 and 4,866.63

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Solution

The fourth proportional to 8,404.71, 11,602.49 and 4,866.63 is: 6,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.71 : 11,602.49 = 4,866.63 : x
  2. Step 2: Convert to fraction form
    8,404.71/11,602.49 = 4,866.63/x
  3. Step 3: Cross multiply
    8,404.71x = 11,602.49 × 4,866.63
  4. Step 4: Simplify right side
    8,404.71x = 56,465,001.58
  5. Step 5: Solve for x
    x = 56,465,001.58/8,404.71
  6. Step 6: Final answer
    x = 6,718.26

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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.