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Finding the Fourth Proportional to 14,068.87, 19,414.41 and 7,695.31

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Solution

The fourth proportional to 14,068.87, 19,414.41 and 7,695.31 is: 10,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.87 : 19,414.41 = 7,695.31 : x
  2. Step 2: Convert to fraction form
    14,068.87/19,414.41 = 7,695.31/x
  3. Step 3: Cross multiply
    14,068.87x = 19,414.41 × 7,695.31
  4. Step 4: Simplify right side
    14,068.87x = 149,399,903.42
  5. Step 5: Solve for x
    x = 149,399,903.42/14,068.87
  6. Step 6: Final answer
    x = 10,619.18

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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.