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Finding the Fourth Proportional to 7,697.40, 11,546.10 and 5,753.40

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Solution

The fourth proportional to 7,697.40, 11,546.10 and 5,753.40 is: 8,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.40 : 11,546.10 = 5,753.40 : x
  2. Step 2: Convert to fraction form
    7,697.40/11,546.10 = 5,753.40/x
  3. Step 3: Cross multiply
    7,697.40x = 11,546.10 × 5,753.40
  4. Step 4: Simplify right side
    7,697.40x = 66,429,331.74
  5. Step 5: Solve for x
    x = 66,429,331.74/7,697.40
  6. Step 6: Final answer
    x = 8,630.10

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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.