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Finding the Fourth Proportional to 7,568.14, 10,444.02 and 4,256.14

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Solution

The fourth proportional to 7,568.14, 10,444.02 and 4,256.14 is: 5,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.14 : 10,444.02 = 4,256.14 : x
  2. Step 2: Convert to fraction form
    7,568.14/10,444.02 = 4,256.14/x
  3. Step 3: Cross multiply
    7,568.14x = 10,444.02 × 4,256.14
  4. Step 4: Simplify right side
    7,568.14x = 44,451,211.28
  5. Step 5: Solve for x
    x = 44,451,211.28/7,568.14
  6. Step 6: Final answer
    x = 5,873.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.