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Finding the Fourth Proportional to 9,662.80, 14,494.20 and 5,774.80

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Solution

The fourth proportional to 9,662.80, 14,494.20 and 5,774.80 is: 8,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.80 : 14,494.20 = 5,774.80 : x
  2. Step 2: Convert to fraction form
    9,662.80/14,494.20 = 5,774.80/x
  3. Step 3: Cross multiply
    9,662.80x = 14,494.20 × 5,774.80
  4. Step 4: Simplify right side
    9,662.80x = 83,701,106.16
  5. Step 5: Solve for x
    x = 83,701,106.16/9,662.80
  6. Step 6: Final answer
    x = 8,662.20

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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.