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Finding the Fourth Proportional to 6,937.92, 9,560.16 and 4,944.24

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Solution

The fourth proportional to 6,937.92, 9,560.16 and 4,944.24 is: 6,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.92 : 9,560.16 = 4,944.24 : x
  2. Step 2: Convert to fraction form
    6,937.92/9,560.16 = 4,944.24/x
  3. Step 3: Cross multiply
    6,937.92x = 9,560.16 × 4,944.24
  4. Step 4: Simplify right side
    6,937.92x = 47,267,725.48
  5. Step 5: Solve for x
    x = 47,267,725.48/6,937.92
  6. Step 6: Final answer
    x = 6,812.95

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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.