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Finding the Fourth Proportional to 7,253.76, 9,935.17 and 6,828.20

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Solution

The fourth proportional to 7,253.76, 9,935.17 and 6,828.20 is: 9,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.76 : 9,935.17 = 6,828.20 : x
  2. Step 2: Convert to fraction form
    7,253.76/9,935.17 = 6,828.20/x
  3. Step 3: Cross multiply
    7,253.76x = 9,935.17 × 6,828.20
  4. Step 4: Simplify right side
    7,253.76x = 67,839,327.79
  5. Step 5: Solve for x
    x = 67,839,327.79/7,253.76
  6. Step 6: Final answer
    x = 9,352.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.