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Finding the Fourth Proportional to 10,502.70, 14,493.70 and 5,786.98

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Solution

The fourth proportional to 10,502.70, 14,493.70 and 5,786.98 is: 7,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.70 : 14,493.70 = 5,786.98 : x
  2. Step 2: Convert to fraction form
    10,502.70/14,493.70 = 5,786.98/x
  3. Step 3: Cross multiply
    10,502.70x = 14,493.70 × 5,786.98
  4. Step 4: Simplify right side
    10,502.70x = 83,874,723.03
  5. Step 5: Solve for x
    x = 83,874,723.03/10,502.70
  6. Step 6: Final answer
    x = 7,986.02

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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.