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Finding the Fourth Proportional to 14,314.92, 19,755 and 8,346.84

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Solution

The fourth proportional to 14,314.92, 19,755 and 8,346.84 is: 11,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.92 : 19,755 = 8,346.84 : x
  2. Step 2: Convert to fraction form
    14,314.92/19,755 = 8,346.84/x
  3. Step 3: Cross multiply
    14,314.92x = 19,755 × 8,346.84
  4. Step 4: Simplify right side
    14,314.92x = 164,891,824.20
  5. Step 5: Solve for x
    x = 164,891,824.20/14,314.92
  6. Step 6: Final answer
    x = 11,518.88

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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.