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Finding the Fourth Proportional to 4,665.84, 7,001.73 and 1,744.26

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Solution

The fourth proportional to 4,665.84, 7,001.73 and 1,744.26 is: 2,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.84 : 7,001.73 = 1,744.26 : x
  2. Step 2: Convert to fraction form
    4,665.84/7,001.73 = 1,744.26/x
  3. Step 3: Cross multiply
    4,665.84x = 7,001.73 × 1,744.26
  4. Step 4: Simplify right side
    4,665.84x = 12,212,837.57
  5. Step 5: Solve for x
    x = 12,212,837.57/4,665.84
  6. Step 6: Final answer
    x = 2,617.50

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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.