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Finding the Fourth Proportional to 9,164.64, 12,647.24 and 4,972.92

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Solution

The fourth proportional to 9,164.64, 12,647.24 and 4,972.92 is: 6,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.64 : 12,647.24 = 4,972.92 : x
  2. Step 2: Convert to fraction form
    9,164.64/12,647.24 = 4,972.92/x
  3. Step 3: Cross multiply
    9,164.64x = 12,647.24 × 4,972.92
  4. Step 4: Simplify right side
    9,164.64x = 62,893,712.74
  5. Step 5: Solve for x
    x = 62,893,712.74/9,164.64
  6. Step 6: Final answer
    x = 6,862.65

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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.