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Finding the Fourth Proportional to 10,576.17, 15,856.97 and 5,024.84

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Solution

The fourth proportional to 10,576.17, 15,856.97 and 5,024.84 is: 7,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.17 : 15,856.97 = 5,024.84 : x
  2. Step 2: Convert to fraction form
    10,576.17/15,856.97 = 5,024.84/x
  3. Step 3: Cross multiply
    10,576.17x = 15,856.97 × 5,024.84
  4. Step 4: Simplify right side
    10,576.17x = 79,678,632.73
  5. Step 5: Solve for x
    x = 79,678,632.73/10,576.17
  6. Step 6: Final answer
    x = 7,533.79

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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.