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Finding the Fourth Proportional to 6,278.64, 9,418.02 and 1,661.64

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Solution

The fourth proportional to 6,278.64, 9,418.02 and 1,661.64 is: 2,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.64 : 9,418.02 = 1,661.64 : x
  2. Step 2: Convert to fraction form
    6,278.64/9,418.02 = 1,661.64/x
  3. Step 3: Cross multiply
    6,278.64x = 9,418.02 × 1,661.64
  4. Step 4: Simplify right side
    6,278.64x = 15,649,358.75
  5. Step 5: Solve for x
    x = 15,649,358.75/6,278.64
  6. Step 6: Final answer
    x = 2,492.48

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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.