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Finding the Fourth Proportional to 10,047.42, 15,063.75 and 6,099.60

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Solution

The fourth proportional to 10,047.42, 15,063.75 and 6,099.60 is: 9,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.42 : 15,063.75 = 6,099.60 : x
  2. Step 2: Convert to fraction form
    10,047.42/15,063.75 = 6,099.60/x
  3. Step 3: Cross multiply
    10,047.42x = 15,063.75 × 6,099.60
  4. Step 4: Simplify right side
    10,047.42x = 91,882,849.50
  5. Step 5: Solve for x
    x = 91,882,849.50/10,047.42
  6. Step 6: Final answer
    x = 9,144.92

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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.