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Finding the Fourth Proportional to 7,411.59, 11,107.58 and 3,894.41

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Solution

The fourth proportional to 7,411.59, 11,107.58 and 3,894.41 is: 5,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.59 : 11,107.58 = 3,894.41 : x
  2. Step 2: Convert to fraction form
    7,411.59/11,107.58 = 3,894.41/x
  3. Step 3: Cross multiply
    7,411.59x = 11,107.58 × 3,894.41
  4. Step 4: Simplify right side
    7,411.59x = 43,257,470.63
  5. Step 5: Solve for x
    x = 43,257,470.63/7,411.59
  6. Step 6: Final answer
    x = 5,836.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.