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Finding the Fourth Proportional to 6,494.18, 9,742.21 and 2,050.34

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Solution

The fourth proportional to 6,494.18, 9,742.21 and 2,050.34 is: 3,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.18 : 9,742.21 = 2,050.34 : x
  2. Step 2: Convert to fraction form
    6,494.18/9,742.21 = 2,050.34/x
  3. Step 3: Cross multiply
    6,494.18x = 9,742.21 × 2,050.34
  4. Step 4: Simplify right side
    6,494.18x = 19,974,842.85
  5. Step 5: Solve for x
    x = 19,974,842.85/6,494.18
  6. Step 6: Final answer
    x = 3,075.81

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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.