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Finding the Fourth Proportional to 6,157.62, 9,240.08 and 2,264.76

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Solution

The fourth proportional to 6,157.62, 9,240.08 and 2,264.76 is: 3,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.62 : 9,240.08 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    6,157.62/9,240.08 = 2,264.76/x
  3. Step 3: Cross multiply
    6,157.62x = 9,240.08 × 2,264.76
  4. Step 4: Simplify right side
    6,157.62x = 20,926,552.26
  5. Step 5: Solve for x
    x = 20,926,552.26/6,157.62
  6. Step 6: Final answer
    x = 3,398.48

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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.