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Finding the Fourth Proportional to 7,217.64, 9,964.62 and 4,567.32

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Solution

The fourth proportional to 7,217.64, 9,964.62 and 4,567.32 is: 6,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.64 : 9,964.62 = 4,567.32 : x
  2. Step 2: Convert to fraction form
    7,217.64/9,964.62 = 4,567.32/x
  3. Step 3: Cross multiply
    7,217.64x = 9,964.62 × 4,567.32
  4. Step 4: Simplify right side
    7,217.64x = 45,511,608.22
  5. Step 5: Solve for x
    x = 45,511,608.22/7,217.64
  6. Step 6: Final answer
    x = 6,305.61

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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.