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Finding the Fourth Proportional to 8,211.60, 12,319.20 and 4,053.60

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Solution

The fourth proportional to 8,211.60, 12,319.20 and 4,053.60 is: 6,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.60 : 12,319.20 = 4,053.60 : x
  2. Step 2: Convert to fraction form
    8,211.60/12,319.20 = 4,053.60/x
  3. Step 3: Cross multiply
    8,211.60x = 12,319.20 × 4,053.60
  4. Step 4: Simplify right side
    8,211.60x = 49,937,109.12
  5. Step 5: Solve for x
    x = 49,937,109.12/8,211.60
  6. Step 6: Final answer
    x = 6,081.29

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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.