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Finding the Fourth Proportional to 10,473.95, 14,454.30 and 5,694.17

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Solution

The fourth proportional to 10,473.95, 14,454.30 and 5,694.17 is: 7,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.95 : 14,454.30 = 5,694.17 : x
  2. Step 2: Convert to fraction form
    10,473.95/14,454.30 = 5,694.17/x
  3. Step 3: Cross multiply
    10,473.95x = 14,454.30 × 5,694.17
  4. Step 4: Simplify right side
    10,473.95x = 82,305,140.69
  5. Step 5: Solve for x
    x = 82,305,140.69/10,473.95
  6. Step 6: Final answer
    x = 7,858.08

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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.