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Finding the Fourth Proportional to 9,927.29, 14,891.25 and 4,994.24

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Solution

The fourth proportional to 9,927.29, 14,891.25 and 4,994.24 is: 7,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.29 : 14,891.25 = 4,994.24 : x
  2. Step 2: Convert to fraction form
    9,927.29/14,891.25 = 4,994.24/x
  3. Step 3: Cross multiply
    9,927.29x = 14,891.25 × 4,994.24
  4. Step 4: Simplify right side
    9,927.29x = 74,370,476.40
  5. Step 5: Solve for x
    x = 74,370,476.40/9,927.29
  6. Step 6: Final answer
    x = 7,491.52

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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.