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Finding the Fourth Proportional to 9,389.10, 14,083.65 and 8,237.10

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Solution

The fourth proportional to 9,389.10, 14,083.65 and 8,237.10 is: 12,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.10 : 14,083.65 = 8,237.10 : x
  2. Step 2: Convert to fraction form
    9,389.10/14,083.65 = 8,237.10/x
  3. Step 3: Cross multiply
    9,389.10x = 14,083.65 × 8,237.10
  4. Step 4: Simplify right side
    9,389.10x = 116,008,433.42
  5. Step 5: Solve for x
    x = 116,008,433.42/9,389.10
  6. Step 6: Final answer
    x = 12,355.65

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Half 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.