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Finding the Fourth Proportional to 7,232.02, 9,977.22 and 4,874.92

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Solution

The fourth proportional to 7,232.02, 9,977.22 and 4,874.92 is: 6,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.02 : 9,977.22 = 4,874.92 : x
  2. Step 2: Convert to fraction form
    7,232.02/9,977.22 = 4,874.92/x
  3. Step 3: Cross multiply
    7,232.02x = 9,977.22 × 4,874.92
  4. Step 4: Simplify right side
    7,232.02x = 48,638,149.32
  5. Step 5: Solve for x
    x = 48,638,149.32/7,232.02
  6. Step 6: Final answer
    x = 6,725.39

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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.