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Finding the Fourth Proportional to 5,001.44, 7,502.16 and 1,538.72

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Solution

The fourth proportional to 5,001.44, 7,502.16 and 1,538.72 is: 2,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.44 : 7,502.16 = 1,538.72 : x
  2. Step 2: Convert to fraction form
    5,001.44/7,502.16 = 1,538.72/x
  3. Step 3: Cross multiply
    5,001.44x = 7,502.16 × 1,538.72
  4. Step 4: Simplify right side
    5,001.44x = 11,543,723.64
  5. Step 5: Solve for x
    x = 11,543,723.64/5,001.44
  6. Step 6: Final answer
    x = 2,308.08

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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.