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Finding the Fourth Proportional to 8,117.64, 12,163.68 and 5,916.24

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Solution

The fourth proportional to 8,117.64, 12,163.68 and 5,916.24 is: 8,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.64 : 12,163.68 = 5,916.24 : x
  2. Step 2: Convert to fraction form
    8,117.64/12,163.68 = 5,916.24/x
  3. Step 3: Cross multiply
    8,117.64x = 12,163.68 × 5,916.24
  4. Step 4: Simplify right side
    8,117.64x = 71,963,250.16
  5. Step 5: Solve for x
    x = 71,963,250.16/8,117.64
  6. Step 6: Final answer
    x = 8,865.05

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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.