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Finding the Fourth Proportional to 10,486.70, 14,471.73 and 5,771.07

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Solution

The fourth proportional to 10,486.70, 14,471.73 and 5,771.07 is: 7,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.70 : 14,471.73 = 5,771.07 : x
  2. Step 2: Convert to fraction form
    10,486.70/14,471.73 = 5,771.07/x
  3. Step 3: Cross multiply
    10,486.70x = 14,471.73 × 5,771.07
  4. Step 4: Simplify right side
    10,486.70x = 83,517,366.85
  5. Step 5: Solve for x
    x = 83,517,366.85/10,486.70
  6. Step 6: Final answer
    x = 7,964.13

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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.