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Finding the Fourth Proportional to 11,574.87, 15,958.76 and 9,448.21

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Solution

The fourth proportional to 11,574.87, 15,958.76 and 9,448.21 is: 13,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.87 : 15,958.76 = 9,448.21 : x
  2. Step 2: Convert to fraction form
    11,574.87/15,958.76 = 9,448.21/x
  3. Step 3: Cross multiply
    11,574.87x = 15,958.76 × 9,448.21
  4. Step 4: Simplify right side
    11,574.87x = 150,781,688.53
  5. Step 5: Solve for x
    x = 150,781,688.53/11,574.87
  6. Step 6: Final answer
    x = 13,026.65

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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.