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Finding the Fourth Proportional to 6,956.46, 10,384.08 and 6,442.52

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Solution

The fourth proportional to 6,956.46, 10,384.08 and 6,442.52 is: 9,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.46 : 10,384.08 = 6,442.52 : x
  2. Step 2: Convert to fraction form
    6,956.46/10,384.08 = 6,442.52/x
  3. Step 3: Cross multiply
    6,956.46x = 10,384.08 × 6,442.52
  4. Step 4: Simplify right side
    6,956.46x = 66,899,591.16
  5. Step 5: Solve for x
    x = 66,899,591.16/6,956.46
  6. Step 6: Final answer
    x = 9,616.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.