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Finding the Fourth Proportional to 6,093.81, 8,406.74 and 5,345.48

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Solution

The fourth proportional to 6,093.81, 8,406.74 and 5,345.48 is: 7,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.81 : 8,406.74 = 5,345.48 : x
  2. Step 2: Convert to fraction form
    6,093.81/8,406.74 = 5,345.48/x
  3. Step 3: Cross multiply
    6,093.81x = 8,406.74 × 5,345.48
  4. Step 4: Simplify right side
    6,093.81x = 44,937,991.77
  5. Step 5: Solve for x
    x = 44,937,991.77/6,093.81
  6. Step 6: Final answer
    x = 7,374.37

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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.