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Finding the Fourth Proportional to 6,984.26, 9,639.16 and 4,332.07

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Solution

The fourth proportional to 6,984.26, 9,639.16 and 4,332.07 is: 5,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.26 : 9,639.16 = 4,332.07 : x
  2. Step 2: Convert to fraction form
    6,984.26/9,639.16 = 4,332.07/x
  3. Step 3: Cross multiply
    6,984.26x = 9,639.16 × 4,332.07
  4. Step 4: Simplify right side
    6,984.26x = 41,757,517.08
  5. Step 5: Solve for x
    x = 41,757,517.08/6,984.26
  6. Step 6: Final answer
    x = 5,978.80

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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.