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Finding the Fourth Proportional to 9,773.80, 14,660.70 and 6,493.30

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Solution

The fourth proportional to 9,773.80, 14,660.70 and 6,493.30 is: 9,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.80 : 14,660.70 = 6,493.30 : x
  2. Step 2: Convert to fraction form
    9,773.80/14,660.70 = 6,493.30/x
  3. Step 3: Cross multiply
    9,773.80x = 14,660.70 × 6,493.30
  4. Step 4: Simplify right side
    9,773.80x = 95,196,323.31
  5. Step 5: Solve for x
    x = 95,196,323.31/9,773.80
  6. Step 6: Final answer
    x = 9,739.95

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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.