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Finding the Fourth Proportional to 8,013.51, 11,948.52 and 8,002.56

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Solution

The fourth proportional to 8,013.51, 11,948.52 and 8,002.56 is: 11,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.51 : 11,948.52 = 8,002.56 : x
  2. Step 2: Convert to fraction form
    8,013.51/11,948.52 = 8,002.56/x
  3. Step 3: Cross multiply
    8,013.51x = 11,948.52 × 8,002.56
  4. Step 4: Simplify right side
    8,013.51x = 95,618,748.21
  5. Step 5: Solve for x
    x = 95,618,748.21/8,013.51
  6. Step 6: Final answer
    x = 11,932.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.