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Finding the Fourth Proportional to 10,410.81, 14,365.22 and 5,934.65

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Solution

The fourth proportional to 10,410.81, 14,365.22 and 5,934.65 is: 8,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.81 : 14,365.22 = 5,934.65 : x
  2. Step 2: Convert to fraction form
    10,410.81/14,365.22 = 5,934.65/x
  3. Step 3: Cross multiply
    10,410.81x = 14,365.22 × 5,934.65
  4. Step 4: Simplify right side
    10,410.81x = 85,252,451.37
  5. Step 5: Solve for x
    x = 85,252,451.37/10,410.81
  6. Step 6: Final answer
    x = 8,188.84

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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.