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Finding the Fourth Proportional to 10,874.92, 16,323.18 and 5,032.84

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Solution

The fourth proportional to 10,874.92, 16,323.18 and 5,032.84 is: 7,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.92 : 16,323.18 = 5,032.84 : x
  2. Step 2: Convert to fraction form
    10,874.92/16,323.18 = 5,032.84/x
  3. Step 3: Cross multiply
    10,874.92x = 16,323.18 × 5,032.84
  4. Step 4: Simplify right side
    10,874.92x = 82,151,953.23
  5. Step 5: Solve for x
    x = 82,151,953.23/10,874.92
  6. Step 6: Final answer
    x = 7,554.26

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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.