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Finding the Fourth Proportional to 4,153.86, 6,230.88 and 1,232.22

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Solution

The fourth proportional to 4,153.86, 6,230.88 and 1,232.22 is: 1,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.86 : 6,230.88 = 1,232.22 : x
  2. Step 2: Convert to fraction form
    4,153.86/6,230.88 = 1,232.22/x
  3. Step 3: Cross multiply
    4,153.86x = 6,230.88 × 1,232.22
  4. Step 4: Simplify right side
    4,153.86x = 7,677,814.95
  5. Step 5: Solve for x
    x = 7,677,814.95/4,153.86
  6. Step 6: Final answer
    x = 1,848.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.