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Finding the Fourth Proportional to 15,605.25, 23,393.97 and 5,742.15

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Solution

The fourth proportional to 15,605.25, 23,393.97 and 5,742.15 is: 8,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.25 : 23,393.97 = 5,742.15 : x
  2. Step 2: Convert to fraction form
    15,605.25/23,393.97 = 5,742.15/x
  3. Step 3: Cross multiply
    15,605.25x = 23,393.97 × 5,742.15
  4. Step 4: Simplify right side
    15,605.25x = 134,331,684.84
  5. Step 5: Solve for x
    x = 134,331,684.84/15,605.25
  6. Step 6: Final answer
    x = 8,608.11

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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.