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Finding the Fourth Proportional to 7,568.06, 10,443.93 and 4,256.06

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Solution

The fourth proportional to 7,568.06, 10,443.93 and 4,256.06 is: 5,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.06 : 10,443.93 = 4,256.06 : x
  2. Step 2: Convert to fraction form
    7,568.06/10,443.93 = 4,256.06/x
  3. Step 3: Cross multiply
    7,568.06x = 10,443.93 × 4,256.06
  4. Step 4: Simplify right side
    7,568.06x = 44,449,992.72
  5. Step 5: Solve for x
    x = 44,449,992.72/7,568.06
  6. Step 6: Final answer
    x = 5,873.37

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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.