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Finding the Fourth Proportional to 11,608.71, 16,020.34 and 6,829

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Solution

The fourth proportional to 11,608.71, 16,020.34 and 6,829 is: 9,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.71 : 16,020.34 = 6,829 : x
  2. Step 2: Convert to fraction form
    11,608.71/16,020.34 = 6,829/x
  3. Step 3: Cross multiply
    11,608.71x = 16,020.34 × 6,829
  4. Step 4: Simplify right side
    11,608.71x = 109,402,901.86
  5. Step 5: Solve for x
    x = 109,402,901.86/11,608.71
  6. Step 6: Final answer
    x = 9,424.21

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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.