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Finding the Fourth Proportional to 4,602.69, 6,351.85 and 2,506.95

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Solution

The fourth proportional to 4,602.69, 6,351.85 and 2,506.95 is: 3,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.69 : 6,351.85 = 2,506.95 : x
  2. Step 2: Convert to fraction form
    4,602.69/6,351.85 = 2,506.95/x
  3. Step 3: Cross multiply
    4,602.69x = 6,351.85 × 2,506.95
  4. Step 4: Simplify right side
    4,602.69x = 15,923,770.36
  5. Step 5: Solve for x
    x = 15,923,770.36/4,602.69
  6. Step 6: Final answer
    x = 3,459.67

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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.