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Finding the Fourth Proportional to 8,266.46, 12,384.04 and 6,408.47

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Solution

The fourth proportional to 8,266.46, 12,384.04 and 6,408.47 is: 9,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.46 : 12,384.04 = 6,408.47 : x
  2. Step 2: Convert to fraction form
    8,266.46/12,384.04 = 6,408.47/x
  3. Step 3: Cross multiply
    8,266.46x = 12,384.04 × 6,408.47
  4. Step 4: Simplify right side
    8,266.46x = 79,362,706.11
  5. Step 5: Solve for x
    x = 79,362,706.11/8,266.46
  6. Step 6: Final answer
    x = 9,600.57

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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.