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Finding the Fourth Proportional to 15,536.88, 23,285.88 and 7,747.92

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Solution

The fourth proportional to 15,536.88, 23,285.88 and 7,747.92 is: 11,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.88 : 23,285.88 = 7,747.92 : x
  2. Step 2: Convert to fraction form
    15,536.88/23,285.88 = 7,747.92/x
  3. Step 3: Cross multiply
    15,536.88x = 23,285.88 × 7,747.92
  4. Step 4: Simplify right side
    15,536.88x = 180,417,135.37
  5. Step 5: Solve for x
    x = 180,417,135.37/15,536.88
  6. Step 6: Final answer
    x = 11,612.19

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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.