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Finding the Fourth Proportional to 11,737, 16,197.06 and 6,432.02

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Solution

The fourth proportional to 11,737, 16,197.06 and 6,432.02 is: 8,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737 : 16,197.06 = 6,432.02 : x
  2. Step 2: Convert to fraction form
    11,737/16,197.06 = 6,432.02/x
  3. Step 3: Cross multiply
    11,737x = 16,197.06 × 6,432.02
  4. Step 4: Simplify right side
    11,737x = 104,179,813.86
  5. Step 5: Solve for x
    x = 104,179,813.86/11,737
  6. Step 6: Final answer
    x = 8,876.19

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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.