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Finding the Fourth Proportional to 6,355.80, 9,533.70 and 1,675.80

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Solution

The fourth proportional to 6,355.80, 9,533.70 and 1,675.80 is: 2,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.80 : 9,533.70 = 1,675.80 : x
  2. Step 2: Convert to fraction form
    6,355.80/9,533.70 = 1,675.80/x
  3. Step 3: Cross multiply
    6,355.80x = 9,533.70 × 1,675.80
  4. Step 4: Simplify right side
    6,355.80x = 15,976,574.46
  5. Step 5: Solve for x
    x = 15,976,574.46/6,355.80
  6. Step 6: Final answer
    x = 2,513.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.