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Finding the Fourth Proportional to 24,106.68, 36,147.06 and 7,461.72

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Solution

The fourth proportional to 24,106.68, 36,147.06 and 7,461.72 is: 11,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106.68 : 36,147.06 = 7,461.72 : x
  2. Step 2: Convert to fraction form
    24,106.68/36,147.06 = 7,461.72/x
  3. Step 3: Cross multiply
    24,106.68x = 36,147.06 × 7,461.72
  4. Step 4: Simplify right side
    24,106.68x = 269,719,240.54
  5. Step 5: Solve for x
    x = 269,719,240.54/24,106.68
  6. Step 6: Final answer
    x = 11,188.57

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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.