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Finding the Fourth Proportional to 4,723.92, 7,044.57 and 4,612.14

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Solution

The fourth proportional to 4,723.92, 7,044.57 and 4,612.14 is: 6,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.92 : 7,044.57 = 4,612.14 : x
  2. Step 2: Convert to fraction form
    4,723.92/7,044.57 = 4,612.14/x
  3. Step 3: Cross multiply
    4,723.92x = 7,044.57 × 4,612.14
  4. Step 4: Simplify right side
    4,723.92x = 32,490,543.08
  5. Step 5: Solve for x
    x = 32,490,543.08/4,723.92
  6. Step 6: Final answer
    x = 6,877.88

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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.