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Finding the Fourth Proportional to 6,703.65, 10,056.60 and 3,005.91

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Solution

The fourth proportional to 6,703.65, 10,056.60 and 3,005.91 is: 4,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.65 : 10,056.60 = 3,005.91 : x
  2. Step 2: Convert to fraction form
    6,703.65/10,056.60 = 3,005.91/x
  3. Step 3: Cross multiply
    6,703.65x = 10,056.60 × 3,005.91
  4. Step 4: Simplify right side
    6,703.65x = 30,229,234.51
  5. Step 5: Solve for x
    x = 30,229,234.51/6,703.65
  6. Step 6: Final answer
    x = 4,509.37

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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.