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Finding the Fourth Proportional to 6,355.50, 9,533.91 and 1,738.50

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Solution

The fourth proportional to 6,355.50, 9,533.91 and 1,738.50 is: 2,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.50 : 9,533.91 = 1,738.50 : x
  2. Step 2: Convert to fraction form
    6,355.50/9,533.91 = 1,738.50/x
  3. Step 3: Cross multiply
    6,355.50x = 9,533.91 × 1,738.50
  4. Step 4: Simplify right side
    6,355.50x = 16,574,702.54
  5. Step 5: Solve for x
    x = 16,574,702.54/6,355.50
  6. Step 6: Final answer
    x = 2,607.93

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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.