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Finding the Fourth Proportional to 6,355.16, 9,532.74 and 1,738.16

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Solution

The fourth proportional to 6,355.16, 9,532.74 and 1,738.16 is: 2,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.16 : 9,532.74 = 1,738.16 : x
  2. Step 2: Convert to fraction form
    6,355.16/9,532.74 = 1,738.16/x
  3. Step 3: Cross multiply
    6,355.16x = 9,532.74 × 1,738.16
  4. Step 4: Simplify right side
    6,355.16x = 16,569,371.00
  5. Step 5: Solve for x
    x = 16,569,371.00/6,355.16
  6. Step 6: Final answer
    x = 2,607.23

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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.