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Finding the Fourth Proportional to 9.75, 14.63 and 2.99

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Solution

The fourth proportional to 9.75, 14.63 and 2.99 is: 4.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.75 : 14.63 = 2.99 : x
  2. Step 2: Convert to fraction form
    9.75/14.63 = 2.99/x
  3. Step 3: Cross multiply
    9.75x = 14.63 × 2.99
  4. Step 4: Simplify right side
    9.75x = 43.71
  5. Step 5: Solve for x
    x = 43.71/9.75
  6. Step 6: Final answer
    x = 4.48

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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.