Home / 10,022.30-13,831-5,546.38

Finding the Fourth Proportional to 10,022.30, 13,831 and 5,546.38

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Solution

The fourth proportional to 10,022.30, 13,831 and 5,546.38 is: 7,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.30 : 13,831 = 5,546.38 : x
  2. Step 2: Convert to fraction form
    10,022.30/13,831 = 5,546.38/x
  3. Step 3: Cross multiply
    10,022.30x = 13,831 × 5,546.38
  4. Step 4: Simplify right side
    10,022.30x = 76,711,981.78
  5. Step 5: Solve for x
    x = 76,711,981.78/10,022.30
  6. Step 6: Final answer
    x = 7,654.13

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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.