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Finding the Fourth Proportional to 7,196.32, 9,932.20 and 4,544.64

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Solution

The fourth proportional to 7,196.32, 9,932.20 and 4,544.64 is: 6,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.32 : 9,932.20 = 4,544.64 : x
  2. Step 2: Convert to fraction form
    7,196.32/9,932.20 = 4,544.64/x
  3. Step 3: Cross multiply
    7,196.32x = 9,932.20 × 4,544.64
  4. Step 4: Simplify right side
    7,196.32x = 45,138,273.41
  5. Step 5: Solve for x
    x = 45,138,273.41/7,196.32
  6. Step 6: Final answer
    x = 6,272.41

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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.