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Finding the Fourth Proportional to 7,008.25, 9,671.39 and 3,864.44

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Solution

The fourth proportional to 7,008.25, 9,671.39 and 3,864.44 is: 5,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.25 : 9,671.39 = 3,864.44 : x
  2. Step 2: Convert to fraction form
    7,008.25/9,671.39 = 3,864.44/x
  3. Step 3: Cross multiply
    7,008.25x = 9,671.39 × 3,864.44
  4. Step 4: Simplify right side
    7,008.25x = 37,374,506.37
  5. Step 5: Solve for x
    x = 37,374,506.37/7,008.25
  6. Step 6: Final answer
    x = 5,332.93

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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.