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Finding the Fourth Proportional to 15,146.13, 22,709.48 and 9,945.93

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Solution

The fourth proportional to 15,146.13, 22,709.48 and 9,945.93 is: 14,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.13 : 22,709.48 = 9,945.93 : x
  2. Step 2: Convert to fraction form
    15,146.13/22,709.48 = 9,945.93/x
  3. Step 3: Cross multiply
    15,146.13x = 22,709.48 × 9,945.93
  4. Step 4: Simplify right side
    15,146.13x = 225,866,848.69
  5. Step 5: Solve for x
    x = 225,866,848.69/15,146.13
  6. Step 6: Final answer
    x = 14,912.51

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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.