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Finding the Fourth Proportional to 14,463.52, 19,962.06 and 8,174.68

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Solution

The fourth proportional to 14,463.52, 19,962.06 and 8,174.68 is: 11,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.52 : 19,962.06 = 8,174.68 : x
  2. Step 2: Convert to fraction form
    14,463.52/19,962.06 = 8,174.68/x
  3. Step 3: Cross multiply
    14,463.52x = 19,962.06 × 8,174.68
  4. Step 4: Simplify right side
    14,463.52x = 163,183,452.64
  5. Step 5: Solve for x
    x = 163,183,452.64/14,463.52
  6. Step 6: Final answer
    x = 11,282.42

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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.