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Finding the Fourth Proportional to 7,009.52, 9,672.93 and 3,822.90

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Solution

The fourth proportional to 7,009.52, 9,672.93 and 3,822.90 is: 5,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.52 : 9,672.93 = 3,822.90 : x
  2. Step 2: Convert to fraction form
    7,009.52/9,672.93 = 3,822.90/x
  3. Step 3: Cross multiply
    7,009.52x = 9,672.93 × 3,822.90
  4. Step 4: Simplify right side
    7,009.52x = 36,978,644.10
  5. Step 5: Solve for x
    x = 36,978,644.10/7,009.52
  6. Step 6: Final answer
    x = 5,275.49

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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.