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Finding the Fourth Proportional to 11,197.98, 16,798.53 and 4,957.50

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Solution

The fourth proportional to 11,197.98, 16,798.53 and 4,957.50 is: 7,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.98 : 16,798.53 = 4,957.50 : x
  2. Step 2: Convert to fraction form
    11,197.98/16,798.53 = 4,957.50/x
  3. Step 3: Cross multiply
    11,197.98x = 16,798.53 × 4,957.50
  4. Step 4: Simplify right side
    11,197.98x = 83,278,712.48
  5. Step 5: Solve for x
    x = 83,278,712.48/11,197.98
  6. Step 6: Final answer
    x = 7,436.94

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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.