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Finding the Fourth Proportional to 35,996.70, 53,996.32 and 9,702.08

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Solution

The fourth proportional to 35,996.70, 53,996.32 and 9,702.08 is: 14,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996.70 : 53,996.32 = 9,702.08 : x
  2. Step 2: Convert to fraction form
    35,996.70/53,996.32 = 9,702.08/x
  3. Step 3: Cross multiply
    35,996.70x = 53,996.32 × 9,702.08
  4. Step 4: Simplify right side
    35,996.70x = 523,876,616.35
  5. Step 5: Solve for x
    x = 523,876,616.35/35,996.70
  6. Step 6: Final answer
    x = 14,553.46

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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.