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Finding the Fourth Proportional to 5,966.12, 8,209.14 and 5,813.48

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Solution

The fourth proportional to 5,966.12, 8,209.14 and 5,813.48 is: 7,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.12 : 8,209.14 = 5,813.48 : x
  2. Step 2: Convert to fraction form
    5,966.12/8,209.14 = 5,813.48/x
  3. Step 3: Cross multiply
    5,966.12x = 8,209.14 × 5,813.48
  4. Step 4: Simplify right side
    5,966.12x = 47,723,671.21
  5. Step 5: Solve for x
    x = 47,723,671.21/5,966.12
  6. Step 6: Final answer
    x = 7,999.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.