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Finding the Fourth Proportional to 10,099.01, 15,125.00 and 9,748.68

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Solution

The fourth proportional to 10,099.01, 15,125.00 and 9,748.68 is: 14,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.01 : 15,125.00 = 9,748.68 : x
  2. Step 2: Convert to fraction form
    10,099.01/15,125.00 = 9,748.68/x
  3. Step 3: Cross multiply
    10,099.01x = 15,125.00 × 9,748.68
  4. Step 4: Simplify right side
    10,099.01x = 147,448,736.26
  5. Step 5: Solve for x
    x = 147,448,736.26/10,099.01
  6. Step 6: Final answer
    x = 14,600.32

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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.