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Finding the Fourth Proportional to 7,118.94, 9,822.37 and 4,432.26

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Solution

The fourth proportional to 7,118.94, 9,822.37 and 4,432.26 is: 6,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.94 : 9,822.37 = 4,432.26 : x
  2. Step 2: Convert to fraction form
    7,118.94/9,822.37 = 4,432.26/x
  3. Step 3: Cross multiply
    7,118.94x = 9,822.37 × 4,432.26
  4. Step 4: Simplify right side
    7,118.94x = 43,535,275.49
  5. Step 5: Solve for x
    x = 43,535,275.49/7,118.94
  6. Step 6: Final answer
    x = 6,115.42

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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.