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Finding the Fourth Proportional to 11,595.70, 16,002.12 and 6,290.38

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Solution

The fourth proportional to 11,595.70, 16,002.12 and 6,290.38 is: 8,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.70 : 16,002.12 = 6,290.38 : x
  2. Step 2: Convert to fraction form
    11,595.70/16,002.12 = 6,290.38/x
  3. Step 3: Cross multiply
    11,595.70x = 16,002.12 × 6,290.38
  4. Step 4: Simplify right side
    11,595.70x = 100,659,415.61
  5. Step 5: Solve for x
    x = 100,659,415.61/11,595.70
  6. Step 6: Final answer
    x = 8,680.75

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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.