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Finding the Fourth Proportional to 8,641.46, 12,963 and 5,200.58

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Solution

The fourth proportional to 8,641.46, 12,963 and 5,200.58 is: 7,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.46 : 12,963 = 5,200.58 : x
  2. Step 2: Convert to fraction form
    8,641.46/12,963 = 5,200.58/x
  3. Step 3: Cross multiply
    8,641.46x = 12,963 × 5,200.58
  4. Step 4: Simplify right side
    8,641.46x = 67,415,118.54
  5. Step 5: Solve for x
    x = 67,415,118.54/8,641.46
  6. Step 6: Final answer
    x = 7,801.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.