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Finding the Fourth Proportional to 11,686.80, 17,535.40 and 6,138.80

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Solution

The fourth proportional to 11,686.80, 17,535.40 and 6,138.80 is: 9,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.80 : 17,535.40 = 6,138.80 : x
  2. Step 2: Convert to fraction form
    11,686.80/17,535.40 = 6,138.80/x
  3. Step 3: Cross multiply
    11,686.80x = 17,535.40 × 6,138.80
  4. Step 4: Simplify right side
    11,686.80x = 107,646,313.52
  5. Step 5: Solve for x
    x = 107,646,313.52/11,686.80
  6. Step 6: Final answer
    x = 9,210.93

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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.