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Finding the Fourth Proportional to 10,662.87, 14,715.17 and 5,948.07

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Solution

The fourth proportional to 10,662.87, 14,715.17 and 5,948.07 is: 8,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.87 : 14,715.17 = 5,948.07 : x
  2. Step 2: Convert to fraction form
    10,662.87/14,715.17 = 5,948.07/x
  3. Step 3: Cross multiply
    10,662.87x = 14,715.17 × 5,948.07
  4. Step 4: Simplify right side
    10,662.87x = 87,526,861.22
  5. Step 5: Solve for x
    x = 87,526,861.22/10,662.87
  6. Step 6: Final answer
    x = 8,208.56

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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.