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Finding the Fourth Proportional to 11,183, 15,432.40 and 6,078.48

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Solution

The fourth proportional to 11,183, 15,432.40 and 6,078.48 is: 8,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183 : 15,432.40 = 6,078.48 : x
  2. Step 2: Convert to fraction form
    11,183/15,432.40 = 6,078.48/x
  3. Step 3: Cross multiply
    11,183x = 15,432.40 × 6,078.48
  4. Step 4: Simplify right side
    11,183x = 93,805,534.75
  5. Step 5: Solve for x
    x = 93,805,534.75/11,183
  6. Step 6: Final answer
    x = 8,388.23

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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.