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Finding the Fourth Proportional to 10,197.52, 15,300.54 and 4,275.52

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Solution

The fourth proportional to 10,197.52, 15,300.54 and 4,275.52 is: 6,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.52 : 15,300.54 = 4,275.52 : x
  2. Step 2: Convert to fraction form
    10,197.52/15,300.54 = 4,275.52/x
  3. Step 3: Cross multiply
    10,197.52x = 15,300.54 × 4,275.52
  4. Step 4: Simplify right side
    10,197.52x = 65,417,726.53
  5. Step 5: Solve for x
    x = 65,417,726.53/10,197.52
  6. Step 6: Final answer
    x = 6,415.06

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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.