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Finding the Fourth Proportional to 9.84, 13.59 and 6.61

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Solution

The fourth proportional to 9.84, 13.59 and 6.61 is: 9.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.84 : 13.59 = 6.61 : x
  2. Step 2: Convert to fraction form
    9.84/13.59 = 6.61/x
  3. Step 3: Cross multiply
    9.84x = 13.59 × 6.61
  4. Step 4: Simplify right side
    9.84x = 89.83
  5. Step 5: Solve for x
    x = 89.83/9.84
  6. Step 6: Final answer
    x = 9.13

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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.