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Finding the Fourth Proportional to 9,927.98, 14,891.95 and 7,738.35

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Solution

The fourth proportional to 9,927.98, 14,891.95 and 7,738.35 is: 11,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.98 : 14,891.95 = 7,738.35 : x
  2. Step 2: Convert to fraction form
    9,927.98/14,891.95 = 7,738.35/x
  3. Step 3: Cross multiply
    9,927.98x = 14,891.95 × 7,738.35
  4. Step 4: Simplify right side
    9,927.98x = 115,239,121.28
  5. Step 5: Solve for x
    x = 115,239,121.28/9,927.98
  6. Step 6: Final answer
    x = 11,607.51

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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.