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Finding the Fourth Proportional to 7,574.57, 11,366.58 and 2,894.97

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Solution

The fourth proportional to 7,574.57, 11,366.58 and 2,894.97 is: 4,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.57 : 11,366.58 = 2,894.97 : x
  2. Step 2: Convert to fraction form
    7,574.57/11,366.58 = 2,894.97/x
  3. Step 3: Cross multiply
    7,574.57x = 11,366.58 × 2,894.97
  4. Step 4: Simplify right side
    7,574.57x = 32,905,908.10
  5. Step 5: Solve for x
    x = 32,905,908.10/7,574.57
  6. Step 6: Final answer
    x = 4,344.26

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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.