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Finding the Fourth Proportional to 35,297, 52,946.78 and 10,673

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Solution

The fourth proportional to 35,297, 52,946.78 and 10,673 is: 16,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,297 : 52,946.78 = 10,673 : x
  2. Step 2: Convert to fraction form
    35,297/52,946.78 = 10,673/x
  3. Step 3: Cross multiply
    35,297x = 52,946.78 × 10,673
  4. Step 4: Simplify right side
    35,297x = 565,100,982.94
  5. Step 5: Solve for x
    x = 565,100,982.94/35,297
  6. Step 6: Final answer
    x = 16,009.89

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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.