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Finding the Fourth Proportional to 6,292.76, 9,443.66 and 4,216.73

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Solution

The fourth proportional to 6,292.76, 9,443.66 and 4,216.73 is: 6,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.76 : 9,443.66 = 4,216.73 : x
  2. Step 2: Convert to fraction form
    6,292.76/9,443.66 = 4,216.73/x
  3. Step 3: Cross multiply
    6,292.76x = 9,443.66 × 4,216.73
  4. Step 4: Simplify right side
    6,292.76x = 39,821,296.13
  5. Step 5: Solve for x
    x = 39,821,296.13/6,292.76
  6. Step 6: Final answer
    x = 6,328.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.