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Finding the Fourth Proportional to 6,534.47, 9,014.14 and 3,983.02

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Solution

The fourth proportional to 6,534.47, 9,014.14 and 3,983.02 is: 5,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.47 : 9,014.14 = 3,983.02 : x
  2. Step 2: Convert to fraction form
    6,534.47/9,014.14 = 3,983.02/x
  3. Step 3: Cross multiply
    6,534.47x = 9,014.14 × 3,983.02
  4. Step 4: Simplify right side
    6,534.47x = 35,903,510.65
  5. Step 5: Solve for x
    x = 35,903,510.65/6,534.47
  6. Step 6: Final answer
    x = 5,494.48

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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.