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Finding the Fourth Proportional to 6,355.29, 9,532.89 and 1,738.29

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Solution

The fourth proportional to 6,355.29, 9,532.89 and 1,738.29 is: 2,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.29 : 9,532.89 = 1,738.29 : x
  2. Step 2: Convert to fraction form
    6,355.29/9,532.89 = 1,738.29/x
  3. Step 3: Cross multiply
    6,355.29x = 9,532.89 × 1,738.29
  4. Step 4: Simplify right side
    6,355.29x = 16,570,927.36
  5. Step 5: Solve for x
    x = 16,570,927.36/6,355.29
  6. Step 6: Final answer
    x = 2,607.42

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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.