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Finding the Fourth Proportional to 7,583.25, 10,465.97 and 7,251.15

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Solution

The fourth proportional to 7,583.25, 10,465.97 and 7,251.15 is: 10,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.25 : 10,465.97 = 7,251.15 : x
  2. Step 2: Convert to fraction form
    7,583.25/10,465.97 = 7,251.15/x
  3. Step 3: Cross multiply
    7,583.25x = 10,465.97 × 7,251.15
  4. Step 4: Simplify right side
    7,583.25x = 75,890,282.11
  5. Step 5: Solve for x
    x = 75,890,282.11/7,583.25
  6. Step 6: Final answer
    x = 10,007.62

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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.