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Finding the Fourth Proportional to 12,569.44, 17,347.44 and 7,601.44

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Solution

The fourth proportional to 12,569.44, 17,347.44 and 7,601.44 is: 10,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.44 : 17,347.44 = 7,601.44 : x
  2. Step 2: Convert to fraction form
    12,569.44/17,347.44 = 7,601.44/x
  3. Step 3: Cross multiply
    12,569.44x = 17,347.44 × 7,601.44
  4. Step 4: Simplify right side
    12,569.44x = 131,865,524.31
  5. Step 5: Solve for x
    x = 131,865,524.31/12,569.44
  6. Step 6: Final answer
    x = 10,490.96

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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.