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Finding the Fourth Proportional to 9,441, 14,216.58 and 6,993.18

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Solution

The fourth proportional to 9,441, 14,216.58 and 6,993.18 is: 10,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441 : 14,216.58 = 6,993.18 : x
  2. Step 2: Convert to fraction form
    9,441/14,216.58 = 6,993.18/x
  3. Step 3: Cross multiply
    9,441x = 14,216.58 × 6,993.18
  4. Step 4: Simplify right side
    9,441x = 99,419,102.92
  5. Step 5: Solve for x
    x = 99,419,102.92/9,441
  6. Step 6: Final answer
    x = 10,530.57

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.