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Finding the Fourth Proportional to 4,713.65, 6,502.38 and 3,200.68

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Solution

The fourth proportional to 4,713.65, 6,502.38 and 3,200.68 is: 4,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.65 : 6,502.38 = 3,200.68 : x
  2. Step 2: Convert to fraction form
    4,713.65/6,502.38 = 3,200.68/x
  3. Step 3: Cross multiply
    4,713.65x = 6,502.38 × 3,200.68
  4. Step 4: Simplify right side
    4,713.65x = 20,812,037.62
  5. Step 5: Solve for x
    x = 20,812,037.62/4,713.65
  6. Step 6: Final answer
    x = 4,415.27

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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.