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Finding the Fourth Proportional to 7,221.62, 9,967.17 and 4,567.22

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Solution

The fourth proportional to 7,221.62, 9,967.17 and 4,567.22 is: 6,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.62 : 9,967.17 = 4,567.22 : x
  2. Step 2: Convert to fraction form
    7,221.62/9,967.17 = 4,567.22/x
  3. Step 3: Cross multiply
    7,221.62x = 9,967.17 × 4,567.22
  4. Step 4: Simplify right side
    7,221.62x = 45,522,258.17
  5. Step 5: Solve for x
    x = 45,522,258.17/7,221.62
  6. Step 6: Final answer
    x = 6,303.61

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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.