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Finding the Fourth Proportional to 7,544.88, 11,264.94 and 7,078.32

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Solution

The fourth proportional to 7,544.88, 11,264.94 and 7,078.32 is: 10,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.88 : 11,264.94 = 7,078.32 : x
  2. Step 2: Convert to fraction form
    7,544.88/11,264.94 = 7,078.32/x
  3. Step 3: Cross multiply
    7,544.88x = 11,264.94 × 7,078.32
  4. Step 4: Simplify right side
    7,544.88x = 79,736,850.10
  5. Step 5: Solve for x
    x = 79,736,850.10/7,544.88
  6. Step 6: Final answer
    x = 10,568.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.