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Finding the Fourth Proportional to 7,708.57, 11,553.74 and 3,544.76

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Solution

The fourth proportional to 7,708.57, 11,553.74 and 3,544.76 is: 5,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.57 : 11,553.74 = 3,544.76 : x
  2. Step 2: Convert to fraction form
    7,708.57/11,553.74 = 3,544.76/x
  3. Step 3: Cross multiply
    7,708.57x = 11,553.74 × 3,544.76
  4. Step 4: Simplify right side
    7,708.57x = 40,955,259.86
  5. Step 5: Solve for x
    x = 40,955,259.86/7,708.57
  6. Step 6: Final answer
    x = 5,312.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.