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Finding the Fourth Proportional to 27,902.94, 41,854.90 and 10,146.20

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Solution

The fourth proportional to 27,902.94, 41,854.90 and 10,146.20 is: 15,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.94 : 41,854.90 = 10,146.20 : x
  2. Step 2: Convert to fraction form
    27,902.94/41,854.90 = 10,146.20/x
  3. Step 3: Cross multiply
    27,902.94x = 41,854.90 × 10,146.20
  4. Step 4: Simplify right side
    27,902.94x = 424,668,186.38
  5. Step 5: Solve for x
    x = 424,668,186.38/27,902.94
  6. Step 6: Final answer
    x = 15,219.48

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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.