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Finding the Fourth Proportional to 9,589.61, 14,365.27 and 7,618.57

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Solution

The fourth proportional to 9,589.61, 14,365.27 and 7,618.57 is: 11,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.61 : 14,365.27 = 7,618.57 : x
  2. Step 2: Convert to fraction form
    9,589.61/14,365.27 = 7,618.57/x
  3. Step 3: Cross multiply
    9,589.61x = 14,365.27 × 7,618.57
  4. Step 4: Simplify right side
    9,589.61x = 109,442,826.62
  5. Step 5: Solve for x
    x = 109,442,826.62/9,589.61
  6. Step 6: Final answer
    x = 11,412.65

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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.