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Finding the Fourth Proportional to 9,590.19, 14,366.14 and 7,619.15

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Solution

The fourth proportional to 9,590.19, 14,366.14 and 7,619.15 is: 11,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.19 : 14,366.14 = 7,619.15 : x
  2. Step 2: Convert to fraction form
    9,590.19/14,366.14 = 7,619.15/x
  3. Step 3: Cross multiply
    9,590.19x = 14,366.14 × 7,619.15
  4. Step 4: Simplify right side
    9,590.19x = 109,457,775.58
  5. Step 5: Solve for x
    x = 109,457,775.58/9,590.19
  6. Step 6: Final answer
    x = 11,413.51

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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.