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Finding the Fourth Proportional to 10,872.82, 15,002.58 and 6,837.40

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Solution

The fourth proportional to 10,872.82, 15,002.58 and 6,837.40 is: 9,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.82 : 15,002.58 = 6,837.40 : x
  2. Step 2: Convert to fraction form
    10,872.82/15,002.58 = 6,837.40/x
  3. Step 3: Cross multiply
    10,872.82x = 15,002.58 × 6,837.40
  4. Step 4: Simplify right side
    10,872.82x = 102,578,640.49
  5. Step 5: Solve for x
    x = 102,578,640.49/10,872.82
  6. Step 6: Final answer
    x = 9,434.41

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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.