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Finding the Fourth Proportional to 7,002.68, 9,663.36 and 4,019.24

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Solution

The fourth proportional to 7,002.68, 9,663.36 and 4,019.24 is: 5,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.68 : 9,663.36 = 4,019.24 : x
  2. Step 2: Convert to fraction form
    7,002.68/9,663.36 = 4,019.24/x
  3. Step 3: Cross multiply
    7,002.68x = 9,663.36 × 4,019.24
  4. Step 4: Simplify right side
    7,002.68x = 38,839,363.05
  5. Step 5: Solve for x
    x = 38,839,363.05/7,002.68
  6. Step 6: Final answer
    x = 5,546.36

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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.