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Finding the Fourth Proportional to 6,355.60, 9,533.76 and 1,973.68

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Solution

The fourth proportional to 6,355.60, 9,533.76 and 1,973.68 is: 2,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.60 : 9,533.76 = 1,973.68 : x
  2. Step 2: Convert to fraction form
    6,355.60/9,533.76 = 1,973.68/x
  3. Step 3: Cross multiply
    6,355.60x = 9,533.76 × 1,973.68
  4. Step 4: Simplify right side
    6,355.60x = 18,816,591.44
  5. Step 5: Solve for x
    x = 18,816,591.44/6,355.60
  6. Step 6: Final answer
    x = 2,960.63

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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.