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Finding the Fourth Proportional to 9,206.52, 12,707.96 and 5,894.52

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Solution

The fourth proportional to 9,206.52, 12,707.96 and 5,894.52 is: 8,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.52 : 12,707.96 = 5,894.52 : x
  2. Step 2: Convert to fraction form
    9,206.52/12,707.96 = 5,894.52/x
  3. Step 3: Cross multiply
    9,206.52x = 12,707.96 × 5,894.52
  4. Step 4: Simplify right side
    9,206.52x = 74,907,324.38
  5. Step 5: Solve for x
    x = 74,907,324.38/9,206.52
  6. Step 6: Final answer
    x = 8,136.33

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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.