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Finding the Fourth Proportional to 11,842.48, 16,342.02 and 6,806.20

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Solution

The fourth proportional to 11,842.48, 16,342.02 and 6,806.20 is: 9,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.48 : 16,342.02 = 6,806.20 : x
  2. Step 2: Convert to fraction form
    11,842.48/16,342.02 = 6,806.20/x
  3. Step 3: Cross multiply
    11,842.48x = 16,342.02 × 6,806.20
  4. Step 4: Simplify right side
    11,842.48x = 111,227,056.52
  5. Step 5: Solve for x
    x = 111,227,056.52/11,842.48
  6. Step 6: Final answer
    x = 9,392.21

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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.