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Finding the Fourth Proportional to 8,435.91, 11,646.53 and 5,787.21

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Solution

The fourth proportional to 8,435.91, 11,646.53 and 5,787.21 is: 7,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.91 : 11,646.53 = 5,787.21 : x
  2. Step 2: Convert to fraction form
    8,435.91/11,646.53 = 5,787.21/x
  3. Step 3: Cross multiply
    8,435.91x = 11,646.53 × 5,787.21
  4. Step 4: Simplify right side
    8,435.91x = 67,400,983.87
  5. Step 5: Solve for x
    x = 67,400,983.87/8,435.91
  6. Step 6: Final answer
    x = 7,989.77

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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.