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Finding the Fourth Proportional to 11,903.32, 17,848.86 and 6,982.66

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Solution

The fourth proportional to 11,903.32, 17,848.86 and 6,982.66 is: 10,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.32 : 17,848.86 = 6,982.66 : x
  2. Step 2: Convert to fraction form
    11,903.32/17,848.86 = 6,982.66/x
  3. Step 3: Cross multiply
    11,903.32x = 17,848.86 × 6,982.66
  4. Step 4: Simplify right side
    11,903.32x = 124,632,520.77
  5. Step 5: Solve for x
    x = 124,632,520.77/11,903.32
  6. Step 6: Final answer
    x = 10,470.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.