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Finding the Fourth Proportional to 6,355, 9,532.50 and 2,707

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Solution

The fourth proportional to 6,355, 9,532.50 and 2,707 is: 4,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355 : 9,532.50 = 2,707 : x
  2. Step 2: Convert to fraction form
    6,355/9,532.50 = 2,707/x
  3. Step 3: Cross multiply
    6,355x = 9,532.50 × 2,707
  4. Step 4: Simplify right side
    6,355x = 25,804,477.50
  5. Step 5: Solve for x
    x = 25,804,477.50/6,355
  6. Step 6: Final answer
    x = 4,060.50

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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.