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Finding the Fourth Proportional to 8,511.41, 11,754.72 and 7,583.76

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Solution

The fourth proportional to 8,511.41, 11,754.72 and 7,583.76 is: 10,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.41 : 11,754.72 = 7,583.76 : x
  2. Step 2: Convert to fraction form
    8,511.41/11,754.72 = 7,583.76/x
  3. Step 3: Cross multiply
    8,511.41x = 11,754.72 × 7,583.76
  4. Step 4: Simplify right side
    8,511.41x = 89,144,937.43
  5. Step 5: Solve for x
    x = 89,144,937.43/8,511.41
  6. Step 6: Final answer
    x = 10,473.58

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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.