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Finding the Fourth Proportional to 6,844.88, 9,437.64 and 5,427.92

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Solution

The fourth proportional to 6,844.88, 9,437.64 and 5,427.92 is: 7,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.88 : 9,437.64 = 5,427.92 : x
  2. Step 2: Convert to fraction form
    6,844.88/9,437.64 = 5,427.92/x
  3. Step 3: Cross multiply
    6,844.88x = 9,437.64 × 5,427.92
  4. Step 4: Simplify right side
    6,844.88x = 51,226,754.91
  5. Step 5: Solve for x
    x = 51,226,754.91/6,844.88
  6. Step 6: Final answer
    x = 7,483.95

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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.