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Finding the Fourth Proportional to 12,536.85, 17,300.69 and 6,947.85

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Solution

The fourth proportional to 12,536.85, 17,300.69 and 6,947.85 is: 9,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.85 : 17,300.69 = 6,947.85 : x
  2. Step 2: Convert to fraction form
    12,536.85/17,300.69 = 6,947.85/x
  3. Step 3: Cross multiply
    12,536.85x = 17,300.69 × 6,947.85
  4. Step 4: Simplify right side
    12,536.85x = 120,202,564.28
  5. Step 5: Solve for x
    x = 120,202,564.28/12,536.85
  6. Step 6: Final answer
    x = 9,587.94

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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.