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Finding the Fourth Proportional to 7,497.82, 10,334.79 and 6,003.10

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Solution

The fourth proportional to 7,497.82, 10,334.79 and 6,003.10 is: 8,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.82 : 10,334.79 = 6,003.10 : x
  2. Step 2: Convert to fraction form
    7,497.82/10,334.79 = 6,003.10/x
  3. Step 3: Cross multiply
    7,497.82x = 10,334.79 × 6,003.10
  4. Step 4: Simplify right side
    7,497.82x = 62,040,777.85
  5. Step 5: Solve for x
    x = 62,040,777.85/7,497.82
  6. Step 6: Final answer
    x = 8,274.51

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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.