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Finding the Fourth Proportional to 6,527.84, 9,784.20 and 5,062.28

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Solution

The fourth proportional to 6,527.84, 9,784.20 and 5,062.28 is: 7,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.84 : 9,784.20 = 5,062.28 : x
  2. Step 2: Convert to fraction form
    6,527.84/9,784.20 = 5,062.28/x
  3. Step 3: Cross multiply
    6,527.84x = 9,784.20 × 5,062.28
  4. Step 4: Simplify right side
    6,527.84x = 49,530,359.98
  5. Step 5: Solve for x
    x = 49,530,359.98/6,527.84
  6. Step 6: Final answer
    x = 7,587.56

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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.