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Finding the Fourth Proportional to 6,953.52, 10,421.28 and 5,304

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Solution

The fourth proportional to 6,953.52, 10,421.28 and 5,304 is: 7,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.52 : 10,421.28 = 5,304 : x
  2. Step 2: Convert to fraction form
    6,953.52/10,421.28 = 5,304/x
  3. Step 3: Cross multiply
    6,953.52x = 10,421.28 × 5,304
  4. Step 4: Simplify right side
    6,953.52x = 55,274,469.12
  5. Step 5: Solve for x
    x = 55,274,469.12/6,953.52
  6. Step 6: Final answer
    x = 7,949.13

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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.