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Finding the Fourth Proportional to 6,538.47, 9,795.42 and 3,247.71

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Solution

The fourth proportional to 6,538.47, 9,795.42 and 3,247.71 is: 4,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.47 : 9,795.42 = 3,247.71 : x
  2. Step 2: Convert to fraction form
    6,538.47/9,795.42 = 3,247.71/x
  3. Step 3: Cross multiply
    6,538.47x = 9,795.42 × 3,247.71
  4. Step 4: Simplify right side
    6,538.47x = 31,812,683.49
  5. Step 5: Solve for x
    x = 31,812,683.49/6,538.47
  6. Step 6: Final answer
    x = 4,865.46

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1.5x scale

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.