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Finding the Fourth Proportional to 8,567.32, 12,821.76 and 7,182.22

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Solution

The fourth proportional to 8,567.32, 12,821.76 and 7,182.22 is: 10,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.32 : 12,821.76 = 7,182.22 : x
  2. Step 2: Convert to fraction form
    8,567.32/12,821.76 = 7,182.22/x
  3. Step 3: Cross multiply
    8,567.32x = 12,821.76 × 7,182.22
  4. Step 4: Simplify right side
    8,567.32x = 92,088,701.11
  5. Step 5: Solve for x
    x = 92,088,701.11/8,567.32
  6. Step 6: Final answer
    x = 10,748.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.