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Finding the Fourth Proportional to 9,672.60, 13,348.92 and 5,424.66

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Solution

The fourth proportional to 9,672.60, 13,348.92 and 5,424.66 is: 7,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.60 : 13,348.92 = 5,424.66 : x
  2. Step 2: Convert to fraction form
    9,672.60/13,348.92 = 5,424.66/x
  3. Step 3: Cross multiply
    9,672.60x = 13,348.92 × 5,424.66
  4. Step 4: Simplify right side
    9,672.60x = 72,413,352.37
  5. Step 5: Solve for x
    x = 72,413,352.37/9,672.60
  6. Step 6: Final answer
    x = 7,486.44

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1.5x scale

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.