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Finding the Fourth Proportional to 13,952.64, 20,927.94 and 6,558.78

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Solution

The fourth proportional to 13,952.64, 20,927.94 and 6,558.78 is: 9,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.64 : 20,927.94 = 6,558.78 : x
  2. Step 2: Convert to fraction form
    13,952.64/20,927.94 = 6,558.78/x
  3. Step 3: Cross multiply
    13,952.64x = 20,927.94 × 6,558.78
  4. Step 4: Simplify right side
    13,952.64x = 137,261,754.31
  5. Step 5: Solve for x
    x = 137,261,754.31/13,952.64
  6. Step 6: Final answer
    x = 9,837.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.