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Finding the Fourth Proportional to 9,683.10, 14,524.65 and 8,415.90

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Solution

The fourth proportional to 9,683.10, 14,524.65 and 8,415.90 is: 12,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.10 : 14,524.65 = 8,415.90 : x
  2. Step 2: Convert to fraction form
    9,683.10/14,524.65 = 8,415.90/x
  3. Step 3: Cross multiply
    9,683.10x = 14,524.65 × 8,415.90
  4. Step 4: Simplify right side
    9,683.10x = 122,238,001.94
  5. Step 5: Solve for x
    x = 122,238,001.94/9,683.10
  6. Step 6: Final answer
    x = 12,623.85

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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.