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Finding the Fourth Proportional to 7,197.54, 9,929.10 and 6,201.09

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Solution

The fourth proportional to 7,197.54, 9,929.10 and 6,201.09 is: 8,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.54 : 9,929.10 = 6,201.09 : x
  2. Step 2: Convert to fraction form
    7,197.54/9,929.10 = 6,201.09/x
  3. Step 3: Cross multiply
    7,197.54x = 9,929.10 × 6,201.09
  4. Step 4: Simplify right side
    7,197.54x = 61,571,242.72
  5. Step 5: Solve for x
    x = 61,571,242.72/7,197.54
  6. Step 6: Final answer
    x = 8,554.48

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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.