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Finding the Fourth Proportional to 10,809.84, 14,917.77 and 6,336.24

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Solution

The fourth proportional to 10,809.84, 14,917.77 and 6,336.24 is: 8,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.84 : 14,917.77 = 6,336.24 : x
  2. Step 2: Convert to fraction form
    10,809.84/14,917.77 = 6,336.24/x
  3. Step 3: Cross multiply
    10,809.84x = 14,917.77 × 6,336.24
  4. Step 4: Simplify right side
    10,809.84x = 94,522,570.98
  5. Step 5: Solve for x
    x = 94,522,570.98/10,809.84
  6. Step 6: Final answer
    x = 8,744.12

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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.