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Finding the Fourth Proportional to 10,703.87, 14,770.97 and 5,924.02

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Solution

The fourth proportional to 10,703.87, 14,770.97 and 5,924.02 is: 8,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.87 : 14,770.97 = 5,924.02 : x
  2. Step 2: Convert to fraction form
    10,703.87/14,770.97 = 5,924.02/x
  3. Step 3: Cross multiply
    10,703.87x = 14,770.97 × 5,924.02
  4. Step 4: Simplify right side
    10,703.87x = 87,503,499.58
  5. Step 5: Solve for x
    x = 87,503,499.58/10,703.87
  6. Step 6: Final answer
    x = 8,174.94

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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.