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Finding the Fourth Proportional to 7,817.70, 11,709.08 and 6,050.66

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Solution

The fourth proportional to 7,817.70, 11,709.08 and 6,050.66 is: 9,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.70 : 11,709.08 = 6,050.66 : x
  2. Step 2: Convert to fraction form
    7,817.70/11,709.08 = 6,050.66/x
  3. Step 3: Cross multiply
    7,817.70x = 11,709.08 × 6,050.66
  4. Step 4: Simplify right side
    7,817.70x = 70,847,661.99
  5. Step 5: Solve for x
    x = 70,847,661.99/7,817.70
  6. Step 6: Final answer
    x = 9,062.47

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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.