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Finding the Fourth Proportional to 6,974.94, 9,632.97 and 4,328.66

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Solution

The fourth proportional to 6,974.94, 9,632.97 and 4,328.66 is: 5,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.94 : 9,632.97 = 4,328.66 : x
  2. Step 2: Convert to fraction form
    6,974.94/9,632.97 = 4,328.66/x
  3. Step 3: Cross multiply
    6,974.94x = 9,632.97 × 4,328.66
  4. Step 4: Simplify right side
    6,974.94x = 41,697,851.92
  5. Step 5: Solve for x
    x = 41,697,851.92/6,974.94
  6. Step 6: Final answer
    x = 5,978.24

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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.