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Finding the Fourth Proportional to 8,531.73, 12,820.68 and 8,050.59

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Solution

The fourth proportional to 8,531.73, 12,820.68 and 8,050.59 is: 12,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.73 : 12,820.68 = 8,050.59 : x
  2. Step 2: Convert to fraction form
    8,531.73/12,820.68 = 8,050.59/x
  3. Step 3: Cross multiply
    8,531.73x = 12,820.68 × 8,050.59
  4. Step 4: Simplify right side
    8,531.73x = 103,214,038.20
  5. Step 5: Solve for x
    x = 103,214,038.20/8,531.73
  6. Step 6: Final answer
    x = 12,097.67

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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.