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Finding the Fourth Proportional to 6,965.82, 9,611.64 and 4,132.08

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Solution

The fourth proportional to 6,965.82, 9,611.64 and 4,132.08 is: 5,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.82 : 9,611.64 = 4,132.08 : x
  2. Step 2: Convert to fraction form
    6,965.82/9,611.64 = 4,132.08/x
  3. Step 3: Cross multiply
    6,965.82x = 9,611.64 × 4,132.08
  4. Step 4: Simplify right side
    6,965.82x = 39,716,065.41
  5. Step 5: Solve for x
    x = 39,716,065.41/6,965.82
  6. Step 6: Final answer
    x = 5,701.56

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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.