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Finding the Fourth Proportional to 12,574.92, 18,844.50 and 9,261.96

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Solution

The fourth proportional to 12,574.92, 18,844.50 and 9,261.96 is: 13,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.92 : 18,844.50 = 9,261.96 : x
  2. Step 2: Convert to fraction form
    12,574.92/18,844.50 = 9,261.96/x
  3. Step 3: Cross multiply
    12,574.92x = 18,844.50 × 9,261.96
  4. Step 4: Simplify right side
    12,574.92x = 174,537,005.22
  5. Step 5: Solve for x
    x = 174,537,005.22/12,574.92
  6. Step 6: Final answer
    x = 13,879.77

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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.