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Finding the Fourth Proportional to 7,194.80, 10,792.20 and 6,465.20

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Solution

The fourth proportional to 7,194.80, 10,792.20 and 6,465.20 is: 9,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.80 : 10,792.20 = 6,465.20 : x
  2. Step 2: Convert to fraction form
    7,194.80/10,792.20 = 6,465.20/x
  3. Step 3: Cross multiply
    7,194.80x = 10,792.20 × 6,465.20
  4. Step 4: Simplify right side
    7,194.80x = 69,773,731.44
  5. Step 5: Solve for x
    x = 69,773,731.44/7,194.80
  6. Step 6: Final answer
    x = 9,697.80

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Similar ratio
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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.