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Finding the Fourth Proportional to 11,842.65, 16,340.67 and 7,594.47

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Solution

The fourth proportional to 11,842.65, 16,340.67 and 7,594.47 is: 10,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.65 : 16,340.67 = 7,594.47 : x
  2. Step 2: Convert to fraction form
    11,842.65/16,340.67 = 7,594.47/x
  3. Step 3: Cross multiply
    11,842.65x = 16,340.67 × 7,594.47
  4. Step 4: Simplify right side
    11,842.65x = 124,098,728.09
  5. Step 5: Solve for x
    x = 124,098,728.09/11,842.65
  6. Step 6: Final answer
    x = 10,478.97

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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.