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Finding the Fourth Proportional to 6,125, 9,165.62 and 5,306.08

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Solution

The fourth proportional to 6,125, 9,165.62 and 5,306.08 is: 7,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125 : 9,165.62 = 5,306.08 : x
  2. Step 2: Convert to fraction form
    6,125/9,165.62 = 5,306.08/x
  3. Step 3: Cross multiply
    6,125x = 9,165.62 × 5,306.08
  4. Step 4: Simplify right side
    6,125x = 48,633,512.97
  5. Step 5: Solve for x
    x = 48,633,512.97/6,125
  6. Step 6: Final answer
    x = 7,940.17

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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.