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Finding the Fourth Proportional to 6,542, 9,807.53 and 3,034.51

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Solution

The fourth proportional to 6,542, 9,807.53 and 3,034.51 is: 4,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542 : 9,807.53 = 3,034.51 : x
  2. Step 2: Convert to fraction form
    6,542/9,807.53 = 3,034.51/x
  3. Step 3: Cross multiply
    6,542x = 9,807.53 × 3,034.51
  4. Step 4: Simplify right side
    6,542x = 29,761,047.86
  5. Step 5: Solve for x
    x = 29,761,047.86/6,542
  6. Step 6: Final answer
    x = 4,549.23

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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.