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Finding the Fourth Proportional to 9,758.78, 14,638.17 and 2,363.23

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Solution

The fourth proportional to 9,758.78, 14,638.17 and 2,363.23 is: 3,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.78 : 14,638.17 = 2,363.23 : x
  2. Step 2: Convert to fraction form
    9,758.78/14,638.17 = 2,363.23/x
  3. Step 3: Cross multiply
    9,758.78x = 14,638.17 × 2,363.23
  4. Step 4: Simplify right side
    9,758.78x = 34,593,294.02
  5. Step 5: Solve for x
    x = 34,593,294.02/9,758.78
  6. Step 6: Final answer
    x = 3,544.84

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Half scale
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Double scale
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Similar ratio
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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.