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Finding the Fourth Proportional to 9,674.68, 14,512.02 and 6,408.52

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Solution

The fourth proportional to 9,674.68, 14,512.02 and 6,408.52 is: 9,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.68 : 14,512.02 = 6,408.52 : x
  2. Step 2: Convert to fraction form
    9,674.68/14,512.02 = 6,408.52/x
  3. Step 3: Cross multiply
    9,674.68x = 14,512.02 × 6,408.52
  4. Step 4: Simplify right side
    9,674.68x = 93,000,570.41
  5. Step 5: Solve for x
    x = 93,000,570.41/9,674.68
  6. Step 6: Final answer
    x = 9,612.78

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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.