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Finding the Fourth Proportional to 7,658.74, 11,488.56 and 2,394.50

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Solution

The fourth proportional to 7,658.74, 11,488.56 and 2,394.50 is: 3,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.74 : 11,488.56 = 2,394.50 : x
  2. Step 2: Convert to fraction form
    7,658.74/11,488.56 = 2,394.50/x
  3. Step 3: Cross multiply
    7,658.74x = 11,488.56 × 2,394.50
  4. Step 4: Simplify right side
    7,658.74x = 27,509,356.92
  5. Step 5: Solve for x
    x = 27,509,356.92/7,658.74
  6. Step 6: Final answer
    x = 3,591.89

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1.5x scale

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.