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Finding the Fourth Proportional to 6,274.44, 9,411.12 and 2,378.88

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Solution

The fourth proportional to 6,274.44, 9,411.12 and 2,378.88 is: 3,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.44 : 9,411.12 = 2,378.88 : x
  2. Step 2: Convert to fraction form
    6,274.44/9,411.12 = 2,378.88/x
  3. Step 3: Cross multiply
    6,274.44x = 9,411.12 × 2,378.88
  4. Step 4: Simplify right side
    6,274.44x = 22,387,925.15
  5. Step 5: Solve for x
    x = 22,387,925.15/6,274.44
  6. Step 6: Final answer
    x = 3,568.12

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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.