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Finding the Fourth Proportional to 11,590.95, 15,994.34 and 7,114.89

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Solution

The fourth proportional to 11,590.95, 15,994.34 and 7,114.89 is: 9,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.95 : 15,994.34 = 7,114.89 : x
  2. Step 2: Convert to fraction form
    11,590.95/15,994.34 = 7,114.89/x
  3. Step 3: Cross multiply
    11,590.95x = 15,994.34 × 7,114.89
  4. Step 4: Simplify right side
    11,590.95x = 113,797,934.15
  5. Step 5: Solve for x
    x = 113,797,934.15/11,590.95
  6. Step 6: Final answer
    x = 9,817.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.