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Finding the Fourth Proportional to 4,894.94, 7,342.36 and 1,197.22

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Solution

The fourth proportional to 4,894.94, 7,342.36 and 1,197.22 is: 1,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.94 : 7,342.36 = 1,197.22 : x
  2. Step 2: Convert to fraction form
    4,894.94/7,342.36 = 1,197.22/x
  3. Step 3: Cross multiply
    4,894.94x = 7,342.36 × 1,197.22
  4. Step 4: Simplify right side
    4,894.94x = 8,790,420.24
  5. Step 5: Solve for x
    x = 8,790,420.24/4,894.94
  6. Step 6: Final answer
    x = 1,795.82

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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.