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Finding the Fourth Proportional to 6,695.74, 10,041.57 and 2,014.50

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Solution

The fourth proportional to 6,695.74, 10,041.57 and 2,014.50 is: 3,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.74 : 10,041.57 = 2,014.50 : x
  2. Step 2: Convert to fraction form
    6,695.74/10,041.57 = 2,014.50/x
  3. Step 3: Cross multiply
    6,695.74x = 10,041.57 × 2,014.50
  4. Step 4: Simplify right side
    6,695.74x = 20,228,742.77
  5. Step 5: Solve for x
    x = 20,228,742.77/6,695.74
  6. Step 6: Final answer
    x = 3,021.14

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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.