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Finding the Fourth Proportional to 9,770.56, 14,663.16 and 6,078.22

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Solution

The fourth proportional to 9,770.56, 14,663.16 and 6,078.22 is: 9,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.56 : 14,663.16 = 6,078.22 : x
  2. Step 2: Convert to fraction form
    9,770.56/14,663.16 = 6,078.22/x
  3. Step 3: Cross multiply
    9,770.56x = 14,663.16 × 6,078.22
  4. Step 4: Simplify right side
    9,770.56x = 89,125,912.38
  5. Step 5: Solve for x
    x = 89,125,912.38/9,770.56
  6. Step 6: Final answer
    x = 9,121.88

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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.