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Finding the Fourth Proportional to 7,509.06, 11,263.68 and 7,052.42

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Solution

The fourth proportional to 7,509.06, 11,263.68 and 7,052.42 is: 10,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.06 : 11,263.68 = 7,052.42 : x
  2. Step 2: Convert to fraction form
    7,509.06/11,263.68 = 7,052.42/x
  3. Step 3: Cross multiply
    7,509.06x = 11,263.68 × 7,052.42
  4. Step 4: Simplify right side
    7,509.06x = 79,436,145.79
  5. Step 5: Solve for x
    x = 79,436,145.79/7,509.06
  6. Step 6: Final answer
    x = 10,578.71

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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.