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Finding the Fourth Proportional to 6,570.42, 9,067.02 and 3,586.32

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Solution

The fourth proportional to 6,570.42, 9,067.02 and 3,586.32 is: 4,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.42 : 9,067.02 = 3,586.32 : x
  2. Step 2: Convert to fraction form
    6,570.42/9,067.02 = 3,586.32/x
  3. Step 3: Cross multiply
    6,570.42x = 9,067.02 × 3,586.32
  4. Step 4: Simplify right side
    6,570.42x = 32,517,235.17
  5. Step 5: Solve for x
    x = 32,517,235.17/6,570.42
  6. Step 6: Final answer
    x = 4,949.03

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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.