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Finding the Fourth Proportional to 8,449.62, 11,663.91 and 5,465.58

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Solution

The fourth proportional to 8,449.62, 11,663.91 and 5,465.58 is: 7,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.62 : 11,663.91 = 5,465.58 : x
  2. Step 2: Convert to fraction form
    8,449.62/11,663.91 = 5,465.58/x
  3. Step 3: Cross multiply
    8,449.62x = 11,663.91 × 5,465.58
  4. Step 4: Simplify right side
    8,449.62x = 63,750,033.22
  5. Step 5: Solve for x
    x = 63,750,033.22/8,449.62
  6. Step 6: Final answer
    x = 7,544.72

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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.