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Finding the Fourth Proportional to 6,141.81, 8,478.92 and 4,135.77

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Solution

The fourth proportional to 6,141.81, 8,478.92 and 4,135.77 is: 5,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.81 : 8,478.92 = 4,135.77 : x
  2. Step 2: Convert to fraction form
    6,141.81/8,478.92 = 4,135.77/x
  3. Step 3: Cross multiply
    6,141.81x = 8,478.92 × 4,135.77
  4. Step 4: Simplify right side
    6,141.81x = 35,066,842.29
  5. Step 5: Solve for x
    x = 35,066,842.29/6,141.81
  6. Step 6: Final answer
    x = 5,709.53

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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.