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Finding the Fourth Proportional to 7,496.82, 10,333.41 and 6,002.10

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Solution

The fourth proportional to 7,496.82, 10,333.41 and 6,002.10 is: 8,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.82 : 10,333.41 = 6,002.10 : x
  2. Step 2: Convert to fraction form
    7,496.82/10,333.41 = 6,002.10/x
  3. Step 3: Cross multiply
    7,496.82x = 10,333.41 × 6,002.10
  4. Step 4: Simplify right side
    7,496.82x = 62,022,160.16
  5. Step 5: Solve for x
    x = 62,022,160.16/7,496.82
  6. Step 6: Final answer
    x = 8,273.13

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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.