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Finding the Fourth Proportional to 15,107.76, 20,849.09 and 8,393.06

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Solution

The fourth proportional to 15,107.76, 20,849.09 and 8,393.06 is: 11,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.76 : 20,849.09 = 8,393.06 : x
  2. Step 2: Convert to fraction form
    15,107.76/20,849.09 = 8,393.06/x
  3. Step 3: Cross multiply
    15,107.76x = 20,849.09 × 8,393.06
  4. Step 4: Simplify right side
    15,107.76x = 174,987,673.47
  5. Step 5: Solve for x
    x = 174,987,673.47/15,107.76
  6. Step 6: Final answer
    x = 11,582.64

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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.