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Finding the Fourth Proportional to 6,974.77, 9,621.16 and 4,178.65

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Solution

The fourth proportional to 6,974.77, 9,621.16 and 4,178.65 is: 5,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.77 : 9,621.16 = 4,178.65 : x
  2. Step 2: Convert to fraction form
    6,974.77/9,621.16 = 4,178.65/x
  3. Step 3: Cross multiply
    6,974.77x = 9,621.16 × 4,178.65
  4. Step 4: Simplify right side
    6,974.77x = 40,203,460.23
  5. Step 5: Solve for x
    x = 40,203,460.23/6,974.77
  6. Step 6: Final answer
    x = 5,764.13

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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.