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Finding the Fourth Proportional to 6,188.34, 9,282 and 3,024.80

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Solution

The fourth proportional to 6,188.34, 9,282 and 3,024.80 is: 4,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.34 : 9,282 = 3,024.80 : x
  2. Step 2: Convert to fraction form
    6,188.34/9,282 = 3,024.80/x
  3. Step 3: Cross multiply
    6,188.34x = 9,282 × 3,024.80
  4. Step 4: Simplify right side
    6,188.34x = 28,076,193.60
  5. Step 5: Solve for x
    x = 28,076,193.60/6,188.34
  6. Step 6: Final answer
    x = 4,536.95

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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.