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Finding the Fourth Proportional to 11,347.50, 15,648.78 and 6,809.49

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Solution

The fourth proportional to 11,347.50, 15,648.78 and 6,809.49 is: 9,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.50 : 15,648.78 = 6,809.49 : x
  2. Step 2: Convert to fraction form
    11,347.50/15,648.78 = 6,809.49/x
  3. Step 3: Cross multiply
    11,347.50x = 15,648.78 × 6,809.49
  4. Step 4: Simplify right side
    11,347.50x = 106,560,210.92
  5. Step 5: Solve for x
    x = 106,560,210.92/11,347.50
  6. Step 6: Final answer
    x = 9,390.63

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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.