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Finding the Fourth Proportional to 6,094.08, 8,424 and 5,437.44

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Solution

The fourth proportional to 6,094.08, 8,424 and 5,437.44 is: 7,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.08 : 8,424 = 5,437.44 : x
  2. Step 2: Convert to fraction form
    6,094.08/8,424 = 5,437.44/x
  3. Step 3: Cross multiply
    6,094.08x = 8,424 × 5,437.44
  4. Step 4: Simplify right side
    6,094.08x = 45,804,994.56
  5. Step 5: Solve for x
    x = 45,804,994.56/6,094.08
  6. Step 6: Final answer
    x = 7,516.31

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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.