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Finding the Fourth Proportional to 6,184.78, 8,530.02 and 5,437.14

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Solution

The fourth proportional to 6,184.78, 8,530.02 and 5,437.14 is: 7,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.78 : 8,530.02 = 5,437.14 : x
  2. Step 2: Convert to fraction form
    6,184.78/8,530.02 = 5,437.14/x
  3. Step 3: Cross multiply
    6,184.78x = 8,530.02 × 5,437.14
  4. Step 4: Simplify right side
    6,184.78x = 46,378,912.94
  5. Step 5: Solve for x
    x = 46,378,912.94/6,184.78
  6. Step 6: Final answer
    x = 7,498.88

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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.