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Finding the Fourth Proportional to 7,594.17, 11,391.66 and 7,178.64

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Solution

The fourth proportional to 7,594.17, 11,391.66 and 7,178.64 is: 10,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.17 : 11,391.66 = 7,178.64 : x
  2. Step 2: Convert to fraction form
    7,594.17/11,391.66 = 7,178.64/x
  3. Step 3: Cross multiply
    7,594.17x = 11,391.66 × 7,178.64
  4. Step 4: Simplify right side
    7,594.17x = 81,776,626.14
  5. Step 5: Solve for x
    x = 81,776,626.14/7,594.17
  6. Step 6: Final answer
    x = 10,768.34

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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.