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Finding the Fourth Proportional to 10,096.67, 13,904 and 7,854.77

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Solution

The fourth proportional to 10,096.67, 13,904 and 7,854.77 is: 10,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.67 : 13,904 = 7,854.77 : x
  2. Step 2: Convert to fraction form
    10,096.67/13,904 = 7,854.77/x
  3. Step 3: Cross multiply
    10,096.67x = 13,904 × 7,854.77
  4. Step 4: Simplify right side
    10,096.67x = 109,212,652.56
  5. Step 5: Solve for x
    x = 109,212,652.56/10,096.67
  6. Step 6: Final answer
    x = 10,816.71

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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.