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Finding the Fourth Proportional to 9,666.74, 14,500.11 and 2,370.74

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Solution

The fourth proportional to 9,666.74, 14,500.11 and 2,370.74 is: 3,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.74 : 14,500.11 = 2,370.74 : x
  2. Step 2: Convert to fraction form
    9,666.74/14,500.11 = 2,370.74/x
  3. Step 3: Cross multiply
    9,666.74x = 14,500.11 × 2,370.74
  4. Step 4: Simplify right side
    9,666.74x = 34,375,990.78
  5. Step 5: Solve for x
    x = 34,375,990.78/9,666.74
  6. Step 6: Final answer
    x = 3,556.11

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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.