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Finding the Fourth Proportional to 7,774.58, 11,662.79 and 2,509.99

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Solution

The fourth proportional to 7,774.58, 11,662.79 and 2,509.99 is: 3,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.58 : 11,662.79 = 2,509.99 : x
  2. Step 2: Convert to fraction form
    7,774.58/11,662.79 = 2,509.99/x
  3. Step 3: Cross multiply
    7,774.58x = 11,662.79 × 2,509.99
  4. Step 4: Simplify right side
    7,774.58x = 29,273,444.57
  5. Step 5: Solve for x
    x = 29,273,444.57/7,774.58
  6. Step 6: Final answer
    x = 3,765.28

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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.