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Finding the Fourth Proportional to 6,876.48, 9,486.54 and 4,888.20

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Solution

The fourth proportional to 6,876.48, 9,486.54 and 4,888.20 is: 6,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.48 : 9,486.54 = 4,888.20 : x
  2. Step 2: Convert to fraction form
    6,876.48/9,486.54 = 4,888.20/x
  3. Step 3: Cross multiply
    6,876.48x = 9,486.54 × 4,888.20
  4. Step 4: Simplify right side
    6,876.48x = 46,372,104.83
  5. Step 5: Solve for x
    x = 46,372,104.83/6,876.48
  6. Step 6: Final answer
    x = 6,743.58

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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.