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Finding the Fourth Proportional to 7,009.25, 9,672.64 and 3,822.57

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Solution

The fourth proportional to 7,009.25, 9,672.64 and 3,822.57 is: 5,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.25 : 9,672.64 = 3,822.57 : x
  2. Step 2: Convert to fraction form
    7,009.25/9,672.64 = 3,822.57/x
  3. Step 3: Cross multiply
    7,009.25x = 9,672.64 × 3,822.57
  4. Step 4: Simplify right side
    7,009.25x = 36,974,297.66
  5. Step 5: Solve for x
    x = 36,974,297.66/7,009.25
  6. Step 6: Final answer
    x = 5,275.08

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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.