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Finding the Fourth Proportional to 6,653.02, 9,981.16 and 2,036.02

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Solution

The fourth proportional to 6,653.02, 9,981.16 and 2,036.02 is: 3,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.02 : 9,981.16 = 2,036.02 : x
  2. Step 2: Convert to fraction form
    6,653.02/9,981.16 = 2,036.02/x
  3. Step 3: Cross multiply
    6,653.02x = 9,981.16 × 2,036.02
  4. Step 4: Simplify right side
    6,653.02x = 20,321,841.38
  5. Step 5: Solve for x
    x = 20,321,841.38/6,653.02
  6. Step 6: Final answer
    x = 3,054.53

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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.