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Finding the Fourth Proportional to 8.40, 12.57 and 6.58

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Solution

The fourth proportional to 8.40, 12.57 and 6.58 is: 9.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.40 : 12.57 = 6.58 : x
  2. Step 2: Convert to fraction form
    8.40/12.57 = 6.58/x
  3. Step 3: Cross multiply
    8.40x = 12.57 × 6.58
  4. Step 4: Simplify right side
    8.40x = 82.71
  5. Step 5: Solve for x
    x = 82.71/8.40
  6. Step 6: Final answer
    x = 9.85

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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.