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Finding the Fourth Proportional to 7,707.54, 11,553.10 and 4,006.04

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Solution

The fourth proportional to 7,707.54, 11,553.10 and 4,006.04 is: 6,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.54 : 11,553.10 = 4,006.04 : x
  2. Step 2: Convert to fraction form
    7,707.54/11,553.10 = 4,006.04/x
  3. Step 3: Cross multiply
    7,707.54x = 11,553.10 × 4,006.04
  4. Step 4: Simplify right side
    7,707.54x = 46,282,180.72
  5. Step 5: Solve for x
    x = 46,282,180.72/7,707.54
  6. Step 6: Final answer
    x = 6,004.79

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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.