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Finding the Fourth Proportional to 11,641.06, 16,065 and 6,336.22

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Solution

The fourth proportional to 11,641.06, 16,065 and 6,336.22 is: 8,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.06 : 16,065 = 6,336.22 : x
  2. Step 2: Convert to fraction form
    11,641.06/16,065 = 6,336.22/x
  3. Step 3: Cross multiply
    11,641.06x = 16,065 × 6,336.22
  4. Step 4: Simplify right side
    11,641.06x = 101,791,374.30
  5. Step 5: Solve for x
    x = 101,791,374.30/11,641.06
  6. Step 6: Final answer
    x = 8,744.17

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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.