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Finding the Fourth Proportional to 6,503.36, 8,972.37 and 3,670.38

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Solution

The fourth proportional to 6,503.36, 8,972.37 and 3,670.38 is: 5,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.36 : 8,972.37 = 3,670.38 : x
  2. Step 2: Convert to fraction form
    6,503.36/8,972.37 = 3,670.38/x
  3. Step 3: Cross multiply
    6,503.36x = 8,972.37 × 3,670.38
  4. Step 4: Simplify right side
    6,503.36x = 32,932,007.40
  5. Step 5: Solve for x
    x = 32,932,007.40/6,503.36
  6. Step 6: Final answer
    x = 5,063.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.