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Finding the Fourth Proportional to 6,959.06, 9,603.54 and 4,164.56

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Solution

The fourth proportional to 6,959.06, 9,603.54 and 4,164.56 is: 5,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.06 : 9,603.54 = 4,164.56 : x
  2. Step 2: Convert to fraction form
    6,959.06/9,603.54 = 4,164.56/x
  3. Step 3: Cross multiply
    6,959.06x = 9,603.54 × 4,164.56
  4. Step 4: Simplify right side
    6,959.06x = 39,994,542.55
  5. Step 5: Solve for x
    x = 39,994,542.55/6,959.06
  6. Step 6: Final answer
    x = 5,747.12

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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.