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Finding the Fourth Proportional to 9,590.80, 14,367.04 and 7,619.76

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Solution

The fourth proportional to 9,590.80, 14,367.04 and 7,619.76 is: 11,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.80 : 14,367.04 = 7,619.76 : x
  2. Step 2: Convert to fraction form
    9,590.80/14,367.04 = 7,619.76/x
  3. Step 3: Cross multiply
    9,590.80x = 14,367.04 × 7,619.76
  4. Step 4: Simplify right side
    9,590.80x = 109,473,396.71
  5. Step 5: Solve for x
    x = 109,473,396.71/9,590.80
  6. Step 6: Final answer
    x = 11,414.42

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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.