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Finding the Fourth Proportional to 6,417.40, 9,623.40 and 2,032.46

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Solution

The fourth proportional to 6,417.40, 9,623.40 and 2,032.46 is: 3,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.40 : 9,623.40 = 2,032.46 : x
  2. Step 2: Convert to fraction form
    6,417.40/9,623.40 = 2,032.46/x
  3. Step 3: Cross multiply
    6,417.40x = 9,623.40 × 2,032.46
  4. Step 4: Simplify right side
    6,417.40x = 19,559,175.56
  5. Step 5: Solve for x
    x = 19,559,175.56/6,417.40
  6. Step 6: Final answer
    x = 3,047.83

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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.