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Finding the Fourth Proportional to 11,900.80, 16,422.78 and 6,595.48

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Solution

The fourth proportional to 11,900.80, 16,422.78 and 6,595.48 is: 9,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.80 : 16,422.78 = 6,595.48 : x
  2. Step 2: Convert to fraction form
    11,900.80/16,422.78 = 6,595.48/x
  3. Step 3: Cross multiply
    11,900.80x = 16,422.78 × 6,595.48
  4. Step 4: Simplify right side
    11,900.80x = 108,316,117.03
  5. Step 5: Solve for x
    x = 108,316,117.03/11,900.80
  6. Step 6: Final answer
    x = 9,101.58

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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.