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Finding the Fourth Proportional to 37,102.65, 55,653.18 and 9,022.85

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Solution

The fourth proportional to 37,102.65, 55,653.18 and 9,022.85 is: 13,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.65 : 55,653.18 = 9,022.85 : x
  2. Step 2: Convert to fraction form
    37,102.65/55,653.18 = 9,022.85/x
  3. Step 3: Cross multiply
    37,102.65x = 55,653.18 × 9,022.85
  4. Step 4: Simplify right side
    37,102.65x = 502,150,016.90
  5. Step 5: Solve for x
    x = 502,150,016.90/37,102.65
  6. Step 6: Final answer
    x = 13,534.07

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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.