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Finding the Fourth Proportional to 11,806.48, 17,712.15 and 4,409.16

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Solution

The fourth proportional to 11,806.48, 17,712.15 and 4,409.16 is: 6,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.48 : 17,712.15 = 4,409.16 : x
  2. Step 2: Convert to fraction form
    11,806.48/17,712.15 = 4,409.16/x
  3. Step 3: Cross multiply
    11,806.48x = 17,712.15 × 4,409.16
  4. Step 4: Simplify right side
    11,806.48x = 78,095,703.29
  5. Step 5: Solve for x
    x = 78,095,703.29/11,806.48
  6. Step 6: Final answer
    x = 6,614.65

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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.