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Finding the Fourth Proportional to 4,713.84, 6,502.92 and 4,002.72

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Solution

The fourth proportional to 4,713.84, 6,502.92 and 4,002.72 is: 5,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.84 : 6,502.92 = 4,002.72 : x
  2. Step 2: Convert to fraction form
    4,713.84/6,502.92 = 4,002.72/x
  3. Step 3: Cross multiply
    4,713.84x = 6,502.92 × 4,002.72
  4. Step 4: Simplify right side
    4,713.84x = 26,029,367.94
  5. Step 5: Solve for x
    x = 26,029,367.94/4,713.84
  6. Step 6: Final answer
    x = 5,521.90

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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.