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Finding the Fourth Proportional to 9.83, 14.75 and 3.07

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Solution

The fourth proportional to 9.83, 14.75 and 3.07 is: 4.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.83 : 14.75 = 3.07 : x
  2. Step 2: Convert to fraction form
    9.83/14.75 = 3.07/x
  3. Step 3: Cross multiply
    9.83x = 14.75 × 3.07
  4. Step 4: Simplify right side
    9.83x = 45.24
  5. Step 5: Solve for x
    x = 45.24/9.83
  6. Step 6: Final answer
    x = 4.60

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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.