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Finding the Fourth Proportional to 13,362.92, 18,442.42 and 9,827.32

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Solution

The fourth proportional to 13,362.92, 18,442.42 and 9,827.32 is: 13,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362.92 : 18,442.42 = 9,827.32 : x
  2. Step 2: Convert to fraction form
    13,362.92/18,442.42 = 9,827.32/x
  3. Step 3: Cross multiply
    13,362.92x = 18,442.42 × 9,827.32
  4. Step 4: Simplify right side
    13,362.92x = 181,239,562.91
  5. Step 5: Solve for x
    x = 181,239,562.91/13,362.92
  6. Step 6: Final answer
    x = 13,562.87

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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.