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Finding the Fourth Proportional to 6,586.80, 9,880.20 and 6,111.60

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Solution

The fourth proportional to 6,586.80, 9,880.20 and 6,111.60 is: 9,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.80 : 9,880.20 = 6,111.60 : x
  2. Step 2: Convert to fraction form
    6,586.80/9,880.20 = 6,111.60/x
  3. Step 3: Cross multiply
    6,586.80x = 9,880.20 × 6,111.60
  4. Step 4: Simplify right side
    6,586.80x = 60,383,830.32
  5. Step 5: Solve for x
    x = 60,383,830.32/6,586.80
  6. Step 6: Final answer
    x = 9,167.40

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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.