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Finding the Fourth Proportional to 6,942.64, 10,389.12 and 6,479.20

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Solution

The fourth proportional to 6,942.64, 10,389.12 and 6,479.20 is: 9,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.64 : 10,389.12 = 6,479.20 : x
  2. Step 2: Convert to fraction form
    6,942.64/10,389.12 = 6,479.20/x
  3. Step 3: Cross multiply
    6,942.64x = 10,389.12 × 6,479.20
  4. Step 4: Simplify right side
    6,942.64x = 67,313,186.30
  5. Step 5: Solve for x
    x = 67,313,186.30/6,942.64
  6. Step 6: Final answer
    x = 9,695.62

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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.