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Finding the Fourth Proportional to 15,503.98, 23,243.01 and 7,189.93

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Solution

The fourth proportional to 15,503.98, 23,243.01 and 7,189.93 is: 10,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.98 : 23,243.01 = 7,189.93 : x
  2. Step 2: Convert to fraction form
    15,503.98/23,243.01 = 7,189.93/x
  3. Step 3: Cross multiply
    15,503.98x = 23,243.01 × 7,189.93
  4. Step 4: Simplify right side
    15,503.98x = 167,115,614.89
  5. Step 5: Solve for x
    x = 167,115,614.89/15,503.98
  6. Step 6: Final answer
    x = 10,778.88

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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.