Home / 15,733.06-23,616-6,974.14

Finding the Fourth Proportional to 15,733.06, 23,616 and 6,974.14

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Solution

The fourth proportional to 15,733.06, 23,616 and 6,974.14 is: 10,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.06 : 23,616 = 6,974.14 : x
  2. Step 2: Convert to fraction form
    15,733.06/23,616 = 6,974.14/x
  3. Step 3: Cross multiply
    15,733.06x = 23,616 × 6,974.14
  4. Step 4: Simplify right side
    15,733.06x = 164,701,290.24
  5. Step 5: Solve for x
    x = 164,701,290.24/15,733.06
  6. Step 6: Final answer
    x = 10,468.48

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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.