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Finding the Fourth Proportional to 4,711.70, 6,502.02 and 2,587.20

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Solution

The fourth proportional to 4,711.70, 6,502.02 and 2,587.20 is: 3,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.70 : 6,502.02 = 2,587.20 : x
  2. Step 2: Convert to fraction form
    4,711.70/6,502.02 = 2,587.20/x
  3. Step 3: Cross multiply
    4,711.70x = 6,502.02 × 2,587.20
  4. Step 4: Simplify right side
    4,711.70x = 16,822,026.14
  5. Step 5: Solve for x
    x = 16,822,026.14/4,711.70
  6. Step 6: Final answer
    x = 3,570.27

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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.