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Finding the Fourth Proportional to 9,773.97, 13,483.89 and 6,187.20

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Solution

The fourth proportional to 9,773.97, 13,483.89 and 6,187.20 is: 8,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.97 : 13,483.89 = 6,187.20 : x
  2. Step 2: Convert to fraction form
    9,773.97/13,483.89 = 6,187.20/x
  3. Step 3: Cross multiply
    9,773.97x = 13,483.89 × 6,187.20
  4. Step 4: Simplify right side
    9,773.97x = 83,427,524.21
  5. Step 5: Solve for x
    x = 83,427,524.21/9,773.97
  6. Step 6: Final answer
    x = 8,535.68

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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.