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Finding the Fourth Proportional to 10,486.99, 14,472.02 and 5,771.27

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Solution

The fourth proportional to 10,486.99, 14,472.02 and 5,771.27 is: 7,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.99 : 14,472.02 = 5,771.27 : x
  2. Step 2: Convert to fraction form
    10,486.99/14,472.02 = 5,771.27/x
  3. Step 3: Cross multiply
    10,486.99x = 14,472.02 × 5,771.27
  4. Step 4: Simplify right side
    10,486.99x = 83,521,869.83
  5. Step 5: Solve for x
    x = 83,521,869.83/10,486.99
  6. Step 6: Final answer
    x = 7,964.33

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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.