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Finding the Fourth Proportional to 11,655.75, 17,498.86 and 6,920.55

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Solution

The fourth proportional to 11,655.75, 17,498.86 and 6,920.55 is: 10,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.75 : 17,498.86 = 6,920.55 : x
  2. Step 2: Convert to fraction form
    11,655.75/17,498.86 = 6,920.55/x
  3. Step 3: Cross multiply
    11,655.75x = 17,498.86 × 6,920.55
  4. Step 4: Simplify right side
    11,655.75x = 121,101,711.41
  5. Step 5: Solve for x
    x = 121,101,711.41/11,655.75
  6. Step 6: Final answer
    x = 10,389.87

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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.