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Finding the Fourth Proportional to 6,532.47, 9,798.32 and 2,315.43

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Solution

The fourth proportional to 6,532.47, 9,798.32 and 2,315.43 is: 3,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.47 : 9,798.32 = 2,315.43 : x
  2. Step 2: Convert to fraction form
    6,532.47/9,798.32 = 2,315.43/x
  3. Step 3: Cross multiply
    6,532.47x = 9,798.32 × 2,315.43
  4. Step 4: Simplify right side
    6,532.47x = 22,687,312.50
  5. Step 5: Solve for x
    x = 22,687,312.50/6,532.47
  6. Step 6: Final answer
    x = 3,473.01

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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.