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Finding the Fourth Proportional to 6,454.52, 9,681.57 and 1,837.52

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Solution

The fourth proportional to 6,454.52, 9,681.57 and 1,837.52 is: 2,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.52 : 9,681.57 = 1,837.52 : x
  2. Step 2: Convert to fraction form
    6,454.52/9,681.57 = 1,837.52/x
  3. Step 3: Cross multiply
    6,454.52x = 9,681.57 × 1,837.52
  4. Step 4: Simplify right side
    6,454.52x = 17,790,030.10
  5. Step 5: Solve for x
    x = 17,790,030.10/6,454.52
  6. Step 6: Final answer
    x = 2,756.21

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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.