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Finding the Fourth Proportional to 6,527.88, 9,782.98 and 4,764.62

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Solution

The fourth proportional to 6,527.88, 9,782.98 and 4,764.62 is: 7,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.88 : 9,782.98 = 4,764.62 : x
  2. Step 2: Convert to fraction form
    6,527.88/9,782.98 = 4,764.62/x
  3. Step 3: Cross multiply
    6,527.88x = 9,782.98 × 4,764.62
  4. Step 4: Simplify right side
    6,527.88x = 46,612,121.34
  5. Step 5: Solve for x
    x = 46,612,121.34/6,527.88
  6. Step 6: Final answer
    x = 7,140.47

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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.