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Finding the Fourth Proportional to 6,905.54, 9,528.95 and 4,252.38

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Solution

The fourth proportional to 6,905.54, 9,528.95 and 4,252.38 is: 5,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.54 : 9,528.95 = 4,252.38 : x
  2. Step 2: Convert to fraction form
    6,905.54/9,528.95 = 4,252.38/x
  3. Step 3: Cross multiply
    6,905.54x = 9,528.95 × 4,252.38
  4. Step 4: Simplify right side
    6,905.54x = 40,520,695.14
  5. Step 5: Solve for x
    x = 40,520,695.14/6,905.54
  6. Step 6: Final answer
    x = 5,867.86

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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.