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Finding the Fourth Proportional to 9,165.83, 12,648.85 and 4,974.08

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Solution

The fourth proportional to 9,165.83, 12,648.85 and 4,974.08 is: 6,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.83 : 12,648.85 = 4,974.08 : x
  2. Step 2: Convert to fraction form
    9,165.83/12,648.85 = 4,974.08/x
  3. Step 3: Cross multiply
    9,165.83x = 12,648.85 × 4,974.08
  4. Step 4: Simplify right side
    9,165.83x = 62,916,391.81
  5. Step 5: Solve for x
    x = 62,916,391.81/9,165.83
  6. Step 6: Final answer
    x = 6,864.23

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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.