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Finding the Fourth Proportional to 7,726.62, 10,653.32 and 6,529.44

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Solution

The fourth proportional to 7,726.62, 10,653.32 and 6,529.44 is: 9,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.62 : 10,653.32 = 6,529.44 : x
  2. Step 2: Convert to fraction form
    7,726.62/10,653.32 = 6,529.44/x
  3. Step 3: Cross multiply
    7,726.62x = 10,653.32 × 6,529.44
  4. Step 4: Simplify right side
    7,726.62x = 69,560,181.09
  5. Step 5: Solve for x
    x = 69,560,181.09/7,726.62
  6. Step 6: Final answer
    x = 9,002.67

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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.