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Finding the Fourth Proportional to 23,142.52, 34,707.48 and 6,501.52

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Solution

The fourth proportional to 23,142.52, 34,707.48 and 6,501.52 is: 9,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.52 : 34,707.48 = 6,501.52 : x
  2. Step 2: Convert to fraction form
    23,142.52/34,707.48 = 6,501.52/x
  3. Step 3: Cross multiply
    23,142.52x = 34,707.48 × 6,501.52
  4. Step 4: Simplify right side
    23,142.52x = 225,651,375.37
  5. Step 5: Solve for x
    x = 225,651,375.37/23,142.52
  6. Step 6: Final answer
    x = 9,750.51

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1.5x scale

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.