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Finding the Fourth Proportional to 7,655.75, 11,416.24 and 7,049.87

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Solution

The fourth proportional to 7,655.75, 11,416.24 and 7,049.87 is: 10,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.75 : 11,416.24 = 7,049.87 : x
  2. Step 2: Convert to fraction form
    7,655.75/11,416.24 = 7,049.87/x
  3. Step 3: Cross multiply
    7,655.75x = 11,416.24 × 7,049.87
  4. Step 4: Simplify right side
    7,655.75x = 80,483,007.89
  5. Step 5: Solve for x
    x = 80,483,007.89/7,655.75
  6. Step 6: Final answer
    x = 10,512.75

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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.