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Finding the Fourth Proportional to 7,232.91, 9,983.30 and 4,090.11

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Solution

The fourth proportional to 7,232.91, 9,983.30 and 4,090.11 is: 5,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.91 : 9,983.30 = 4,090.11 : x
  2. Step 2: Convert to fraction form
    7,232.91/9,983.30 = 4,090.11/x
  3. Step 3: Cross multiply
    7,232.91x = 9,983.30 × 4,090.11
  4. Step 4: Simplify right side
    7,232.91x = 40,832,774.71
  5. Step 5: Solve for x
    x = 40,832,774.71/7,232.91
  6. Step 6: Final answer
    x = 5,645.41

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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.