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Finding the Fourth Proportional to 8,649.76, 12,975.60 and 2,494.24

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Solution

The fourth proportional to 8,649.76, 12,975.60 and 2,494.24 is: 3,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.76 : 12,975.60 = 2,494.24 : x
  2. Step 2: Convert to fraction form
    8,649.76/12,975.60 = 2,494.24/x
  3. Step 3: Cross multiply
    8,649.76x = 12,975.60 × 2,494.24
  4. Step 4: Simplify right side
    8,649.76x = 32,364,260.54
  5. Step 5: Solve for x
    x = 32,364,260.54/8,649.76
  6. Step 6: Final answer
    x = 3,741.64

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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.