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Finding the Fourth Proportional to 4,713, 6,484.74 and 4,324.20

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Solution

The fourth proportional to 4,713, 6,484.74 and 4,324.20 is: 5,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713 : 6,484.74 = 4,324.20 : x
  2. Step 2: Convert to fraction form
    4,713/6,484.74 = 4,324.20/x
  3. Step 3: Cross multiply
    4,713x = 6,484.74 × 4,324.20
  4. Step 4: Simplify right side
    4,713x = 28,041,312.71
  5. Step 5: Solve for x
    x = 28,041,312.71/4,713
  6. Step 6: Final answer
    x = 5,949.78

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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.