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Finding the Fourth Proportional to 7,817.19, 10,723.49 and 7,393.50

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Solution

The fourth proportional to 7,817.19, 10,723.49 and 7,393.50 is: 10,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.19 : 10,723.49 = 7,393.50 : x
  2. Step 2: Convert to fraction form
    7,817.19/10,723.49 = 7,393.50/x
  3. Step 3: Cross multiply
    7,817.19x = 10,723.49 × 7,393.50
  4. Step 4: Simplify right side
    7,817.19x = 79,284,086.35
  5. Step 5: Solve for x
    x = 79,284,086.35/7,817.19
  6. Step 6: Final answer
    x = 10,142.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.