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Finding the Fourth Proportional to 7,009.27, 9,672.86 and 3,822.54

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Solution

The fourth proportional to 7,009.27, 9,672.86 and 3,822.54 is: 5,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.27 : 9,672.86 = 3,822.54 : x
  2. Step 2: Convert to fraction form
    7,009.27/9,672.86 = 3,822.54/x
  3. Step 3: Cross multiply
    7,009.27x = 9,672.86 × 3,822.54
  4. Step 4: Simplify right side
    7,009.27x = 36,974,894.26
  5. Step 5: Solve for x
    x = 36,974,894.26/7,009.27
  6. Step 6: Final answer
    x = 5,275.14

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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.