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Finding the Fourth Proportional to 7,814.07, 11,723.13 and 5,758.56

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Solution

The fourth proportional to 7,814.07, 11,723.13 and 5,758.56 is: 8,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.07 : 11,723.13 = 5,758.56 : x
  2. Step 2: Convert to fraction form
    7,814.07/11,723.13 = 5,758.56/x
  3. Step 3: Cross multiply
    7,814.07x = 11,723.13 × 5,758.56
  4. Step 4: Simplify right side
    7,814.07x = 67,508,347.49
  5. Step 5: Solve for x
    x = 67,508,347.49/7,814.07
  6. Step 6: Final answer
    x = 8,639.33

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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.