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Finding the Fourth Proportional to 7,888.56, 11,838.90 and 5,892.24

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Solution

The fourth proportional to 7,888.56, 11,838.90 and 5,892.24 is: 8,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.56 : 11,838.90 = 5,892.24 : x
  2. Step 2: Convert to fraction form
    7,888.56/11,838.90 = 5,892.24/x
  3. Step 3: Cross multiply
    7,888.56x = 11,838.90 × 5,892.24
  4. Step 4: Simplify right side
    7,888.56x = 69,757,640.14
  5. Step 5: Solve for x
    x = 69,757,640.14/7,888.56
  6. Step 6: Final answer
    x = 8,842.89

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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.