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Finding the Fourth Proportional to 15,507.21, 23,254.74 and 6,736.14

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Solution

The fourth proportional to 15,507.21, 23,254.74 and 6,736.14 is: 10,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.21 : 23,254.74 = 6,736.14 : x
  2. Step 2: Convert to fraction form
    15,507.21/23,254.74 = 6,736.14/x
  3. Step 3: Cross multiply
    15,507.21x = 23,254.74 × 6,736.14
  4. Step 4: Simplify right side
    15,507.21x = 156,647,184.30
  5. Step 5: Solve for x
    x = 156,647,184.30/15,507.21
  6. Step 6: Final answer
    x = 10,101.57

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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.