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Finding the Fourth Proportional to 9,109.59, 13,689.09 and 4,952.67

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Solution

The fourth proportional to 9,109.59, 13,689.09 and 4,952.67 is: 7,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.59 : 13,689.09 = 4,952.67 : x
  2. Step 2: Convert to fraction form
    9,109.59/13,689.09 = 4,952.67/x
  3. Step 3: Cross multiply
    9,109.59x = 13,689.09 × 4,952.67
  4. Step 4: Simplify right side
    9,109.59x = 67,797,545.37
  5. Step 5: Solve for x
    x = 67,797,545.37/9,109.59
  6. Step 6: Final answer
    x = 7,442.44

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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.