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Finding the Fourth Proportional to 12,013.88, 16,595.16 and 9,664.88

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Solution

The fourth proportional to 12,013.88, 16,595.16 and 9,664.88 is: 13,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.88 : 16,595.16 = 9,664.88 : x
  2. Step 2: Convert to fraction form
    12,013.88/16,595.16 = 9,664.88/x
  3. Step 3: Cross multiply
    12,013.88x = 16,595.16 × 9,664.88
  4. Step 4: Simplify right side
    12,013.88x = 160,390,229.98
  5. Step 5: Solve for x
    x = 160,390,229.98/12,013.88
  6. Step 6: Final answer
    x = 13,350.41

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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.