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Finding the Fourth Proportional to 6,884.17, 9,491.32 and 5,938.12

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Solution

The fourth proportional to 6,884.17, 9,491.32 and 5,938.12 is: 8,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.17 : 9,491.32 = 5,938.12 : x
  2. Step 2: Convert to fraction form
    6,884.17/9,491.32 = 5,938.12/x
  3. Step 3: Cross multiply
    6,884.17x = 9,491.32 × 5,938.12
  4. Step 4: Simplify right side
    6,884.17x = 56,360,597.12
  5. Step 5: Solve for x
    x = 56,360,597.12/6,884.17
  6. Step 6: Final answer
    x = 8,186.99

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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.