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Finding the Fourth Proportional to 6,002.84, 9,006.42 and 4,356.60

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Solution

The fourth proportional to 6,002.84, 9,006.42 and 4,356.60 is: 6,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.84 : 9,006.42 = 4,356.60 : x
  2. Step 2: Convert to fraction form
    6,002.84/9,006.42 = 4,356.60/x
  3. Step 3: Cross multiply
    6,002.84x = 9,006.42 × 4,356.60
  4. Step 4: Simplify right side
    6,002.84x = 39,237,369.37
  5. Step 5: Solve for x
    x = 39,237,369.37/6,002.84
  6. Step 6: Final answer
    x = 6,536.47

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1.5x scale

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.