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Finding the Fourth Proportional to 7,663.24, 11,494.86 and 4,944.52

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Solution

The fourth proportional to 7,663.24, 11,494.86 and 4,944.52 is: 7,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.24 : 11,494.86 = 4,944.52 : x
  2. Step 2: Convert to fraction form
    7,663.24/11,494.86 = 4,944.52/x
  3. Step 3: Cross multiply
    7,663.24x = 11,494.86 × 4,944.52
  4. Step 4: Simplify right side
    7,663.24x = 56,836,565.17
  5. Step 5: Solve for x
    x = 56,836,565.17/7,663.24
  6. Step 6: Final answer
    x = 7,416.78

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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.