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Finding the Fourth Proportional to 10,176.76, 15,239.22 and 4,969

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Solution

The fourth proportional to 10,176.76, 15,239.22 and 4,969 is: 7,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.76 : 15,239.22 = 4,969 : x
  2. Step 2: Convert to fraction form
    10,176.76/15,239.22 = 4,969/x
  3. Step 3: Cross multiply
    10,176.76x = 15,239.22 × 4,969
  4. Step 4: Simplify right side
    10,176.76x = 75,723,684.18
  5. Step 5: Solve for x
    x = 75,723,684.18/10,176.76
  6. Step 6: Final answer
    x = 7,440.84

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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.