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Finding the Fourth Proportional to 8,497.66, 12,750.68 and 3,820.98

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Solution

The fourth proportional to 8,497.66, 12,750.68 and 3,820.98 is: 5,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.66 : 12,750.68 = 3,820.98 : x
  2. Step 2: Convert to fraction form
    8,497.66/12,750.68 = 3,820.98/x
  3. Step 3: Cross multiply
    8,497.66x = 12,750.68 × 3,820.98
  4. Step 4: Simplify right side
    8,497.66x = 48,720,093.27
  5. Step 5: Solve for x
    x = 48,720,093.27/8,497.66
  6. Step 6: Final answer
    x = 5,733.35

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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.