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Finding the Fourth Proportional to 6,876.84, 9,483.78 and 5,816.82

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Solution

The fourth proportional to 6,876.84, 9,483.78 and 5,816.82 is: 8,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.84 : 9,483.78 = 5,816.82 : x
  2. Step 2: Convert to fraction form
    6,876.84/9,483.78 = 5,816.82/x
  3. Step 3: Cross multiply
    6,876.84x = 9,483.78 × 5,816.82
  4. Step 4: Simplify right side
    6,876.84x = 55,165,441.18
  5. Step 5: Solve for x
    x = 55,165,441.18/6,876.84
  6. Step 6: Final answer
    x = 8,021.92

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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.