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Finding the Fourth Proportional to 4,178.59, 6,231 and 4,141.09

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Solution

The fourth proportional to 4,178.59, 6,231 and 4,141.09 is: 6,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.59 : 6,231 = 4,141.09 : x
  2. Step 2: Convert to fraction form
    4,178.59/6,231 = 4,141.09/x
  3. Step 3: Cross multiply
    4,178.59x = 6,231 × 4,141.09
  4. Step 4: Simplify right side
    4,178.59x = 25,803,131.79
  5. Step 5: Solve for x
    x = 25,803,131.79/4,178.59
  6. Step 6: Final answer
    x = 6,175.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.