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Finding the Fourth Proportional to 6,700.36, 10,054 and 3,005.16

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Solution

The fourth proportional to 6,700.36, 10,054 and 3,005.16 is: 4,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.36 : 10,054 = 3,005.16 : x
  2. Step 2: Convert to fraction form
    6,700.36/10,054 = 3,005.16/x
  3. Step 3: Cross multiply
    6,700.36x = 10,054 × 3,005.16
  4. Step 4: Simplify right side
    6,700.36x = 30,213,878.64
  5. Step 5: Solve for x
    x = 30,213,878.64/6,700.36
  6. Step 6: Final answer
    x = 4,509.29

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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.