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Finding the Fourth Proportional to 13, 19.50 and 7.66

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Solution

The fourth proportional to 13, 19.50 and 7.66 is: 11.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 19.50 = 7.66 : x
  2. Step 2: Convert to fraction form
    13/19.50 = 7.66/x
  3. Step 3: Cross multiply
    13x = 19.50 × 7.66
  4. Step 4: Simplify right side
    13x = 149.37
  5. Step 5: Solve for x
    x = 149.37/13
  6. Step 6: Final answer
    x = 11.49

Related Problems

Find fourth proportional to 6.50, 9.75 and 3.83
Half scale
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Double scale
Find fourth proportional to 14, 21 and 8.66
Similar ratio
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1.5x scale

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.