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Finding the Fourth Proportional to 9,596, 14,394.88 and 2,670.56

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Solution

The fourth proportional to 9,596, 14,394.88 and 2,670.56 is: 4,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596 : 14,394.88 = 2,670.56 : x
  2. Step 2: Convert to fraction form
    9,596/14,394.88 = 2,670.56/x
  3. Step 3: Cross multiply
    9,596x = 14,394.88 × 2,670.56
  4. Step 4: Simplify right side
    9,596x = 38,442,390.73
  5. Step 5: Solve for x
    x = 38,442,390.73/9,596
  6. Step 6: Final answer
    x = 4,006.08

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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.