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Finding the Fourth Proportional to 9,590.67, 14,366.86 and 7,619.64

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Solution

The fourth proportional to 9,590.67, 14,366.86 and 7,619.64 is: 11,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.67 : 14,366.86 = 7,619.64 : x
  2. Step 2: Convert to fraction form
    9,590.67/14,366.86 = 7,619.64/x
  3. Step 3: Cross multiply
    9,590.67x = 14,366.86 × 7,619.64
  4. Step 4: Simplify right side
    9,590.67x = 109,470,301.13
  5. Step 5: Solve for x
    x = 109,470,301.13/9,590.67
  6. Step 6: Final answer
    x = 11,414.25

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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.