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Finding the Fourth Proportional to 8,920.80, 12,314.70 and 6,415.20

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Solution

The fourth proportional to 8,920.80, 12,314.70 and 6,415.20 is: 8,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.80 : 12,314.70 = 6,415.20 : x
  2. Step 2: Convert to fraction form
    8,920.80/12,314.70 = 6,415.20/x
  3. Step 3: Cross multiply
    8,920.80x = 12,314.70 × 6,415.20
  4. Step 4: Simplify right side
    8,920.80x = 79,001,263.44
  5. Step 5: Solve for x
    x = 79,001,263.44/8,920.80
  6. Step 6: Final answer
    x = 8,855.85

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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.