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Finding the Fourth Proportional to 6,315.47, 9,471.14 and 2,983.20

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Solution

The fourth proportional to 6,315.47, 9,471.14 and 2,983.20 is: 4,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.47 : 9,471.14 = 2,983.20 : x
  2. Step 2: Convert to fraction form
    6,315.47/9,471.14 = 2,983.20/x
  3. Step 3: Cross multiply
    6,315.47x = 9,471.14 × 2,983.20
  4. Step 4: Simplify right side
    6,315.47x = 28,254,276.79
  5. Step 5: Solve for x
    x = 28,254,276.79/6,315.47
  6. Step 6: Final answer
    x = 4,473.82

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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.