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Finding the Fourth Proportional to 7,009.68, 9,673.03 and 3,822.89

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Solution

The fourth proportional to 7,009.68, 9,673.03 and 3,822.89 is: 5,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.68 : 9,673.03 = 3,822.89 : x
  2. Step 2: Convert to fraction form
    7,009.68/9,673.03 = 3,822.89/x
  3. Step 3: Cross multiply
    7,009.68x = 9,673.03 × 3,822.89
  4. Step 4: Simplify right side
    7,009.68x = 36,978,969.66
  5. Step 5: Solve for x
    x = 36,978,969.66/7,009.68
  6. Step 6: Final answer
    x = 5,275.42

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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.