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Finding the Fourth Proportional to 6,356.50, 9,533.58 and 2,657.74

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Solution

The fourth proportional to 6,356.50, 9,533.58 and 2,657.74 is: 3,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.50 : 9,533.58 = 2,657.74 : x
  2. Step 2: Convert to fraction form
    6,356.50/9,533.58 = 2,657.74/x
  3. Step 3: Cross multiply
    6,356.50x = 9,533.58 × 2,657.74
  4. Step 4: Simplify right side
    6,356.50x = 25,337,776.91
  5. Step 5: Solve for x
    x = 25,337,776.91/6,356.50
  6. Step 6: Final answer
    x = 3,986.12

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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.