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Finding the Fourth Proportional to 8,004.71, 11,046.57 and 4,468.25

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Solution

The fourth proportional to 8,004.71, 11,046.57 and 4,468.25 is: 6,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.71 : 11,046.57 = 4,468.25 : x
  2. Step 2: Convert to fraction form
    8,004.71/11,046.57 = 4,468.25/x
  3. Step 3: Cross multiply
    8,004.71x = 11,046.57 × 4,468.25
  4. Step 4: Simplify right side
    8,004.71x = 49,358,836.40
  5. Step 5: Solve for x
    x = 49,358,836.40/8,004.71
  6. Step 6: Final answer
    x = 6,166.22

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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.