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Finding the Fourth Proportional to 12,394.53, 18,596.35 and 5,734.24

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Solution

The fourth proportional to 12,394.53, 18,596.35 and 5,734.24 is: 8,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.53 : 18,596.35 = 5,734.24 : x
  2. Step 2: Convert to fraction form
    12,394.53/18,596.35 = 5,734.24/x
  3. Step 3: Cross multiply
    12,394.53x = 18,596.35 × 5,734.24
  4. Step 4: Simplify right side
    12,394.53x = 106,635,934.02
  5. Step 5: Solve for x
    x = 106,635,934.02/12,394.53
  6. Step 6: Final answer
    x = 8,603.47

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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.