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Finding the Fourth Proportional to 9,764.57, 14,593.28 and 7,137.61

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Solution

The fourth proportional to 9,764.57, 14,593.28 and 7,137.61 is: 10,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.57 : 14,593.28 = 7,137.61 : x
  2. Step 2: Convert to fraction form
    9,764.57/14,593.28 = 7,137.61/x
  3. Step 3: Cross multiply
    9,764.57x = 14,593.28 × 7,137.61
  4. Step 4: Simplify right side
    9,764.57x = 104,161,069.09
  5. Step 5: Solve for x
    x = 104,161,069.09/9,764.57
  6. Step 6: Final answer
    x = 10,667.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.