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Finding the Fourth Proportional to 10,523.46, 14,522.46 and 5,743.44

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Solution

The fourth proportional to 10,523.46, 14,522.46 and 5,743.44 is: 7,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.46 : 14,522.46 = 5,743.44 : x
  2. Step 2: Convert to fraction form
    10,523.46/14,522.46 = 5,743.44/x
  3. Step 3: Cross multiply
    10,523.46x = 14,522.46 × 5,743.44
  4. Step 4: Simplify right side
    10,523.46x = 83,408,877.66
  5. Step 5: Solve for x
    x = 83,408,877.66/10,523.46
  6. Step 6: Final answer
    x = 7,925.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.