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Finding the Fourth Proportional to 9,099.42, 13,676.06 and 7,549.48

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Solution

The fourth proportional to 9,099.42, 13,676.06 and 7,549.48 is: 11,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.42 : 13,676.06 = 7,549.48 : x
  2. Step 2: Convert to fraction form
    9,099.42/13,676.06 = 7,549.48/x
  3. Step 3: Cross multiply
    9,099.42x = 13,676.06 × 7,549.48
  4. Step 4: Simplify right side
    9,099.42x = 103,247,141.45
  5. Step 5: Solve for x
    x = 103,247,141.45/9,099.42
  6. Step 6: Final answer
    x = 11,346.56

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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.