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Finding the Fourth Proportional to 6,507.45, 9,742.02 and 4,034.31

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Solution

The fourth proportional to 6,507.45, 9,742.02 and 4,034.31 is: 6,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.45 : 9,742.02 = 4,034.31 : x
  2. Step 2: Convert to fraction form
    6,507.45/9,742.02 = 4,034.31/x
  3. Step 3: Cross multiply
    6,507.45x = 9,742.02 × 4,034.31
  4. Step 4: Simplify right side
    6,507.45x = 39,302,328.71
  5. Step 5: Solve for x
    x = 39,302,328.71/6,507.45
  6. Step 6: Final answer
    x = 6,039.59

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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.