Home / 10,217-15,296.25-6,924.24

Finding the Fourth Proportional to 10,217, 15,296.25 and 6,924.24

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Solution

The fourth proportional to 10,217, 15,296.25 and 6,924.24 is: 10,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217 : 15,296.25 = 6,924.24 : x
  2. Step 2: Convert to fraction form
    10,217/15,296.25 = 6,924.24/x
  3. Step 3: Cross multiply
    10,217x = 15,296.25 × 6,924.24
  4. Step 4: Simplify right side
    10,217x = 105,914,906.10
  5. Step 5: Solve for x
    x = 105,914,906.10/10,217
  6. Step 6: Final answer
    x = 10,366.54

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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.