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Finding the Fourth Proportional to 9,897.75, 14,828.09 and 4,961.61

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Solution

The fourth proportional to 9,897.75, 14,828.09 and 4,961.61 is: 7,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.75 : 14,828.09 = 4,961.61 : x
  2. Step 2: Convert to fraction form
    9,897.75/14,828.09 = 4,961.61/x
  3. Step 3: Cross multiply
    9,897.75x = 14,828.09 × 4,961.61
  4. Step 4: Simplify right side
    9,897.75x = 73,571,174.82
  5. Step 5: Solve for x
    x = 73,571,174.82/9,897.75
  6. Step 6: Final answer
    x = 7,433.12

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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.