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Finding the Fourth Proportional to 5,494.32, 7,574.52 and 4,651.68

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Solution

The fourth proportional to 5,494.32, 7,574.52 and 4,651.68 is: 6,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.32 : 7,574.52 = 4,651.68 : x
  2. Step 2: Convert to fraction form
    5,494.32/7,574.52 = 4,651.68/x
  3. Step 3: Cross multiply
    5,494.32x = 7,574.52 × 4,651.68
  4. Step 4: Simplify right side
    5,494.32x = 35,234,243.19
  5. Step 5: Solve for x
    x = 35,234,243.19/5,494.32
  6. Step 6: Final answer
    x = 6,412.85

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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.