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Finding the Fourth Proportional to 9,052, 13,565.67 and 4,660.18

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Solution

The fourth proportional to 9,052, 13,565.67 and 4,660.18 is: 6,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052 : 13,565.67 = 4,660.18 : x
  2. Step 2: Convert to fraction form
    9,052/13,565.67 = 4,660.18/x
  3. Step 3: Cross multiply
    9,052x = 13,565.67 × 4,660.18
  4. Step 4: Simplify right side
    9,052x = 63,218,464.02
  5. Step 5: Solve for x
    x = 63,218,464.02/9,052
  6. Step 6: Final answer
    x = 6,983.92

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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.