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Finding the Fourth Proportional to 11,900.95, 16,422.39 and 6,595.65

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Solution

The fourth proportional to 11,900.95, 16,422.39 and 6,595.65 is: 9,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.95 : 16,422.39 = 6,595.65 : x
  2. Step 2: Convert to fraction form
    11,900.95/16,422.39 = 6,595.65/x
  3. Step 3: Cross multiply
    11,900.95x = 16,422.39 × 6,595.65
  4. Step 4: Simplify right side
    11,900.95x = 108,316,336.60
  5. Step 5: Solve for x
    x = 108,316,336.60/11,900.95
  6. Step 6: Final answer
    x = 9,101.49

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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.