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Finding the Fourth Proportional to 9,876.48, 13,627.92 and 5,683.92

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Solution

The fourth proportional to 9,876.48, 13,627.92 and 5,683.92 is: 7,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.48 : 13,627.92 = 5,683.92 : x
  2. Step 2: Convert to fraction form
    9,876.48/13,627.92 = 5,683.92/x
  3. Step 3: Cross multiply
    9,876.48x = 13,627.92 × 5,683.92
  4. Step 4: Simplify right side
    9,876.48x = 77,460,007.05
  5. Step 5: Solve for x
    x = 77,460,007.05/9,876.48
  6. Step 6: Final answer
    x = 7,842.88

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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.