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Finding the Fourth Proportional to 9,876.36, 14,820.39 and 3,640.74

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Solution

The fourth proportional to 9,876.36, 14,820.39 and 3,640.74 is: 5,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.36 : 14,820.39 = 3,640.74 : x
  2. Step 2: Convert to fraction form
    9,876.36/14,820.39 = 3,640.74/x
  3. Step 3: Cross multiply
    9,876.36x = 14,820.39 × 3,640.74
  4. Step 4: Simplify right side
    9,876.36x = 53,957,131.11
  5. Step 5: Solve for x
    x = 53,957,131.11/9,876.36
  6. Step 6: Final answer
    x = 5,463.26

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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.