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Finding the Fourth Proportional to 6,632.31, 9,142.94 and 4,636.68

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Solution

The fourth proportional to 6,632.31, 9,142.94 and 4,636.68 is: 6,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.31 : 9,142.94 = 4,636.68 : x
  2. Step 2: Convert to fraction form
    6,632.31/9,142.94 = 4,636.68/x
  3. Step 3: Cross multiply
    6,632.31x = 9,142.94 × 4,636.68
  4. Step 4: Simplify right side
    6,632.31x = 42,392,887.04
  5. Step 5: Solve for x
    x = 42,392,887.04/6,632.31
  6. Step 6: Final answer
    x = 6,391.87

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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.