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Finding the Fourth Proportional to 7,774.84, 11,659.56 and 2,579.50

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Solution

The fourth proportional to 7,774.84, 11,659.56 and 2,579.50 is: 3,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.84 : 11,659.56 = 2,579.50 : x
  2. Step 2: Convert to fraction form
    7,774.84/11,659.56 = 2,579.50/x
  3. Step 3: Cross multiply
    7,774.84x = 11,659.56 × 2,579.50
  4. Step 4: Simplify right side
    7,774.84x = 30,075,835.02
  5. Step 5: Solve for x
    x = 30,075,835.02/7,774.84
  6. Step 6: Final answer
    x = 3,868.35

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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.