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Finding the Fourth Proportional to 8,317.25, 11,477.81 and 4,591.25

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Solution

The fourth proportional to 8,317.25, 11,477.81 and 4,591.25 is: 6,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.25 : 11,477.81 = 4,591.25 : x
  2. Step 2: Convert to fraction form
    8,317.25/11,477.81 = 4,591.25/x
  3. Step 3: Cross multiply
    8,317.25x = 11,477.81 × 4,591.25
  4. Step 4: Simplify right side
    8,317.25x = 52,697,472.21
  5. Step 5: Solve for x
    x = 52,697,472.21/8,317.25
  6. Step 6: Final answer
    x = 6,335.93

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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.