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Finding the Fourth Proportional to 7,013.41, 9,678.11 and 4,029.24

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Solution

The fourth proportional to 7,013.41, 9,678.11 and 4,029.24 is: 5,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.41 : 9,678.11 = 4,029.24 : x
  2. Step 2: Convert to fraction form
    7,013.41/9,678.11 = 4,029.24/x
  3. Step 3: Cross multiply
    7,013.41x = 9,678.11 × 4,029.24
  4. Step 4: Simplify right side
    7,013.41x = 38,995,455.42
  5. Step 5: Solve for x
    x = 38,995,455.42/7,013.41
  6. Step 6: Final answer
    x = 5,560.13

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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.