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Finding the Fourth Proportional to 9,165.76, 12,648.72 and 4,974.16

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Solution

The fourth proportional to 9,165.76, 12,648.72 and 4,974.16 is: 6,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.76 : 12,648.72 = 4,974.16 : x
  2. Step 2: Convert to fraction form
    9,165.76/12,648.72 = 4,974.16/x
  3. Step 3: Cross multiply
    9,165.76x = 12,648.72 × 4,974.16
  4. Step 4: Simplify right side
    9,165.76x = 62,916,757.08
  5. Step 5: Solve for x
    x = 62,916,757.08/9,165.76
  6. Step 6: Final answer
    x = 6,864.33

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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.