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Finding the Fourth Proportional to 11,057.48, 15,258.48 and 6,276.86

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Solution

The fourth proportional to 11,057.48, 15,258.48 and 6,276.86 is: 8,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.48 : 15,258.48 = 6,276.86 : x
  2. Step 2: Convert to fraction form
    11,057.48/15,258.48 = 6,276.86/x
  3. Step 3: Cross multiply
    11,057.48x = 15,258.48 × 6,276.86
  4. Step 4: Simplify right side
    11,057.48x = 95,775,342.77
  5. Step 5: Solve for x
    x = 95,775,342.77/11,057.48
  6. Step 6: Final answer
    x = 8,661.59

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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.