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Finding the Fourth Proportional to 6,275.53, 9,413.31 and 1,893.00

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Solution

The fourth proportional to 6,275.53, 9,413.31 and 1,893.00 is: 2,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.53 : 9,413.31 = 1,893.00 : x
  2. Step 2: Convert to fraction form
    6,275.53/9,413.31 = 1,893.00/x
  3. Step 3: Cross multiply
    6,275.53x = 9,413.31 × 1,893.00
  4. Step 4: Simplify right side
    6,275.53x = 17,819,358.80
  5. Step 5: Solve for x
    x = 17,819,358.80/6,275.53
  6. Step 6: Final answer
    x = 2,839.50

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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.