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Finding the Fourth Proportional to 9,471.87, 13,068.84 and 5,694.29

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Solution

The fourth proportional to 9,471.87, 13,068.84 and 5,694.29 is: 7,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.87 : 13,068.84 = 5,694.29 : x
  2. Step 2: Convert to fraction form
    9,471.87/13,068.84 = 5,694.29/x
  3. Step 3: Cross multiply
    9,471.87x = 13,068.84 × 5,694.29
  4. Step 4: Simplify right side
    9,471.87x = 74,417,699.58
  5. Step 5: Solve for x
    x = 74,417,699.58/9,471.87
  6. Step 6: Final answer
    x = 7,856.71

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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.