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Finding the Fourth Proportional to 6,876.82, 9,466.63 and 6,036.04

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Solution

The fourth proportional to 6,876.82, 9,466.63 and 6,036.04 is: 8,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.82 : 9,466.63 = 6,036.04 : x
  2. Step 2: Convert to fraction form
    6,876.82/9,466.63 = 6,036.04/x
  3. Step 3: Cross multiply
    6,876.82x = 9,466.63 × 6,036.04
  4. Step 4: Simplify right side
    6,876.82x = 57,140,957.35
  5. Step 5: Solve for x
    x = 57,140,957.35/6,876.82
  6. Step 6: Final answer
    x = 8,309.21

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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.