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Finding the Fourth Proportional to 23,049.74, 34,566.92 and 9,006.14

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Solution

The fourth proportional to 23,049.74, 34,566.92 and 9,006.14 is: 13,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.74 : 34,566.92 = 9,006.14 : x
  2. Step 2: Convert to fraction form
    23,049.74/34,566.92 = 9,006.14/x
  3. Step 3: Cross multiply
    23,049.74x = 34,566.92 × 9,006.14
  4. Step 4: Simplify right side
    23,049.74x = 311,314,303.02
  5. Step 5: Solve for x
    x = 311,314,303.02/23,049.74
  6. Step 6: Final answer
    x = 13,506.20

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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.