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Finding the Fourth Proportional to 6.52, 9.04 and 6.40

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Solution

The fourth proportional to 6.52, 9.04 and 6.40 is: 8.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.52 : 9.04 = 6.40 : x
  2. Step 2: Convert to fraction form
    6.52/9.04 = 6.40/x
  3. Step 3: Cross multiply
    6.52x = 9.04 × 6.40
  4. Step 4: Simplify right side
    6.52x = 57.86
  5. Step 5: Solve for x
    x = 57.86/6.52
  6. Step 6: Final answer
    x = 8.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.