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Finding the Fourth Proportional to 8,411.04, 12,616.61 and 2,567.65

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Solution

The fourth proportional to 8,411.04, 12,616.61 and 2,567.65 is: 3,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.04 : 12,616.61 = 2,567.65 : x
  2. Step 2: Convert to fraction form
    8,411.04/12,616.61 = 2,567.65/x
  3. Step 3: Cross multiply
    8,411.04x = 12,616.61 × 2,567.65
  4. Step 4: Simplify right side
    8,411.04x = 32,395,032.39
  5. Step 5: Solve for x
    x = 32,395,032.39/8,411.04
  6. Step 6: Final answer
    x = 3,851.49

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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.