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Finding the Fourth Proportional to 14,146.24, 19,521.81 and 7,773.24

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Solution

The fourth proportional to 14,146.24, 19,521.81 and 7,773.24 is: 10,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.24 : 19,521.81 = 7,773.24 : x
  2. Step 2: Convert to fraction form
    14,146.24/19,521.81 = 7,773.24/x
  3. Step 3: Cross multiply
    14,146.24x = 19,521.81 × 7,773.24
  4. Step 4: Simplify right side
    14,146.24x = 151,747,714.36
  5. Step 5: Solve for x
    x = 151,747,714.36/14,146.24
  6. Step 6: Final answer
    x = 10,727.07

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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.