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Finding the Fourth Proportional to 6,707.71, 10,064.00 and 3,242.53

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Solution

The fourth proportional to 6,707.71, 10,064.00 and 3,242.53 is: 4,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.71 : 10,064.00 = 3,242.53 : x
  2. Step 2: Convert to fraction form
    6,707.71/10,064.00 = 3,242.53/x
  3. Step 3: Cross multiply
    6,707.71x = 10,064.00 × 3,242.53
  4. Step 4: Simplify right side
    6,707.71x = 32,632,824.37
  5. Step 5: Solve for x
    x = 32,632,824.37/6,707.71
  6. Step 6: Final answer
    x = 4,864.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.