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Finding the Fourth Proportional to 35,897.97, 53,847 and 9,602.70

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Solution

The fourth proportional to 35,897.97, 53,847 and 9,602.70 is: 14,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.97 : 53,847 = 9,602.70 : x
  2. Step 2: Convert to fraction form
    35,897.97/53,847 = 9,602.70/x
  3. Step 3: Cross multiply
    35,897.97x = 53,847 × 9,602.70
  4. Step 4: Simplify right side
    35,897.97x = 517,076,586.90
  5. Step 5: Solve for x
    x = 517,076,586.90/35,897.97
  6. Step 6: Final answer
    x = 14,404.06

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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.