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Finding the Fourth Proportional to 8,513.40, 12,770.10 and 4,139.40

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Solution

The fourth proportional to 8,513.40, 12,770.10 and 4,139.40 is: 6,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.40 : 12,770.10 = 4,139.40 : x
  2. Step 2: Convert to fraction form
    8,513.40/12,770.10 = 4,139.40/x
  3. Step 3: Cross multiply
    8,513.40x = 12,770.10 × 4,139.40
  4. Step 4: Simplify right side
    8,513.40x = 52,860,551.94
  5. Step 5: Solve for x
    x = 52,860,551.94/8,513.40
  6. Step 6: Final answer
    x = 6,209.10

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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.