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Finding the Fourth Proportional to 26,545.50, 39,818.34 and 8,077.50

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Solution

The fourth proportional to 26,545.50, 39,818.34 and 8,077.50 is: 12,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,545.50 : 39,818.34 = 8,077.50 : x
  2. Step 2: Convert to fraction form
    26,545.50/39,818.34 = 8,077.50/x
  3. Step 3: Cross multiply
    26,545.50x = 39,818.34 × 8,077.50
  4. Step 4: Simplify right side
    26,545.50x = 321,632,641.35
  5. Step 5: Solve for x
    x = 321,632,641.35/26,545.50
  6. Step 6: Final answer
    x = 12,116.28

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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.