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Finding the Fourth Proportional to 14,046.24, 19,382.16 and 7,758.24

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Solution

The fourth proportional to 14,046.24, 19,382.16 and 7,758.24 is: 10,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.24 : 19,382.16 = 7,758.24 : x
  2. Step 2: Convert to fraction form
    14,046.24/19,382.16 = 7,758.24/x
  3. Step 3: Cross multiply
    14,046.24x = 19,382.16 × 7,758.24
  4. Step 4: Simplify right side
    14,046.24x = 150,371,449.00
  5. Step 5: Solve for x
    x = 150,371,449.00/14,046.24
  6. Step 6: Final answer
    x = 10,705.46

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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.