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Finding the Fourth Proportional to 9,748.08, 14,608.08 and 7,546.50

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Solution

The fourth proportional to 9,748.08, 14,608.08 and 7,546.50 is: 11,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.08 : 14,608.08 = 7,546.50 : x
  2. Step 2: Convert to fraction form
    9,748.08/14,608.08 = 7,546.50/x
  3. Step 3: Cross multiply
    9,748.08x = 14,608.08 × 7,546.50
  4. Step 4: Simplify right side
    9,748.08x = 110,239,875.72
  5. Step 5: Solve for x
    x = 110,239,875.72/9,748.08
  6. Step 6: Final answer
    x = 11,308.88

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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.