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Finding the Fourth Proportional to 8,024.94, 12,035.63 and 5,834.70

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Solution

The fourth proportional to 8,024.94, 12,035.63 and 5,834.70 is: 8,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.94 : 12,035.63 = 5,834.70 : x
  2. Step 2: Convert to fraction form
    8,024.94/12,035.63 = 5,834.70/x
  3. Step 3: Cross multiply
    8,024.94x = 12,035.63 × 5,834.70
  4. Step 4: Simplify right side
    8,024.94x = 70,224,290.36
  5. Step 5: Solve for x
    x = 70,224,290.36/8,024.94
  6. Step 6: Final answer
    x = 8,750.76

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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.