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Finding the Fourth Proportional to 6,934.93, 9,570.50 and 3,791.32

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Solution

The fourth proportional to 6,934.93, 9,570.50 and 3,791.32 is: 5,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.93 : 9,570.50 = 3,791.32 : x
  2. Step 2: Convert to fraction form
    6,934.93/9,570.50 = 3,791.32/x
  3. Step 3: Cross multiply
    6,934.93x = 9,570.50 × 3,791.32
  4. Step 4: Simplify right side
    6,934.93x = 36,284,828.06
  5. Step 5: Solve for x
    x = 36,284,828.06/6,934.93
  6. Step 6: Final answer
    x = 5,232.18

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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.