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Finding the Fourth Proportional to 11,614.96, 16,032.08 and 6,902.08

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Solution

The fourth proportional to 11,614.96, 16,032.08 and 6,902.08 is: 9,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.96 : 16,032.08 = 6,902.08 : x
  2. Step 2: Convert to fraction form
    11,614.96/16,032.08 = 6,902.08/x
  3. Step 3: Cross multiply
    11,614.96x = 16,032.08 × 6,902.08
  4. Step 4: Simplify right side
    11,614.96x = 110,654,698.73
  5. Step 5: Solve for x
    x = 110,654,698.73/11,614.96
  6. Step 6: Final answer
    x = 9,526.91

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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.