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Finding the Fourth Proportional to 22,319.78, 33,478.86 and 6,737

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Solution

The fourth proportional to 22,319.78, 33,478.86 and 6,737 is: 10,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,319.78 : 33,478.86 = 6,737 : x
  2. Step 2: Convert to fraction form
    22,319.78/33,478.86 = 6,737/x
  3. Step 3: Cross multiply
    22,319.78x = 33,478.86 × 6,737
  4. Step 4: Simplify right side
    22,319.78x = 225,547,079.82
  5. Step 5: Solve for x
    x = 225,547,079.82/22,319.78
  6. Step 6: Final answer
    x = 10,105.26

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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.