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Finding the Fourth Proportional to 7,043.52, 9,726.51 and 4,530

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Solution

The fourth proportional to 7,043.52, 9,726.51 and 4,530 is: 6,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.52 : 9,726.51 = 4,530 : x
  2. Step 2: Convert to fraction form
    7,043.52/9,726.51 = 4,530/x
  3. Step 3: Cross multiply
    7,043.52x = 9,726.51 × 4,530
  4. Step 4: Simplify right side
    7,043.52x = 44,061,090.30
  5. Step 5: Solve for x
    x = 44,061,090.30/7,043.52
  6. Step 6: Final answer
    x = 6,255.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.