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Finding the Fourth Proportional to 15,938.01, 23,898.78 and 7,165.44

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Solution

The fourth proportional to 15,938.01, 23,898.78 and 7,165.44 is: 10,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938.01 : 23,898.78 = 7,165.44 : x
  2. Step 2: Convert to fraction form
    15,938.01/23,898.78 = 7,165.44/x
  3. Step 3: Cross multiply
    15,938.01x = 23,898.78 × 7,165.44
  4. Step 4: Simplify right side
    15,938.01x = 171,245,274.16
  5. Step 5: Solve for x
    x = 171,245,274.16/15,938.01
  6. Step 6: Final answer
    x = 10,744.46

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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.