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Finding the Fourth Proportional to 7,774.50, 10,729.11 and 4,417.44

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Solution

The fourth proportional to 7,774.50, 10,729.11 and 4,417.44 is: 6,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.50 : 10,729.11 = 4,417.44 : x
  2. Step 2: Convert to fraction form
    7,774.50/10,729.11 = 4,417.44/x
  3. Step 3: Cross multiply
    7,774.50x = 10,729.11 × 4,417.44
  4. Step 4: Simplify right side
    7,774.50x = 47,395,199.68
  5. Step 5: Solve for x
    x = 47,395,199.68/7,774.50
  6. Step 6: Final answer
    x = 6,096.24

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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.