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Finding the Fourth Proportional to 6,233.79, 8,614.04 and 5,930.07

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Solution

The fourth proportional to 6,233.79, 8,614.04 and 5,930.07 is: 8,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.79 : 8,614.04 = 5,930.07 : x
  2. Step 2: Convert to fraction form
    6,233.79/8,614.04 = 5,930.07/x
  3. Step 3: Cross multiply
    6,233.79x = 8,614.04 × 5,930.07
  4. Step 4: Simplify right side
    6,233.79x = 51,081,830.53
  5. Step 5: Solve for x
    x = 51,081,830.53/6,233.79
  6. Step 6: Final answer
    x = 8,194.35

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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.