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Finding the Fourth Proportional to 8,462.68, 12,694.04 and 2,916.16

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Solution

The fourth proportional to 8,462.68, 12,694.04 and 2,916.16 is: 4,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.68 : 12,694.04 = 2,916.16 : x
  2. Step 2: Convert to fraction form
    8,462.68/12,694.04 = 2,916.16/x
  3. Step 3: Cross multiply
    8,462.68x = 12,694.04 × 2,916.16
  4. Step 4: Simplify right side
    8,462.68x = 37,017,851.69
  5. Step 5: Solve for x
    x = 37,017,851.69/8,462.68
  6. Step 6: Final answer
    x = 4,374.25

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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.