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Finding the Fourth Proportional to 6,527.37, 9,783.02 and 2,574.66

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Solution

The fourth proportional to 6,527.37, 9,783.02 and 2,574.66 is: 3,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.37 : 9,783.02 = 2,574.66 : x
  2. Step 2: Convert to fraction form
    6,527.37/9,783.02 = 2,574.66/x
  3. Step 3: Cross multiply
    6,527.37x = 9,783.02 × 2,574.66
  4. Step 4: Simplify right side
    6,527.37x = 25,187,937.40
  5. Step 5: Solve for x
    x = 25,187,937.40/6,527.37
  6. Step 6: Final answer
    x = 3,858.82

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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.