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Finding the Fourth Proportional to 4,842.10, 6,770.30 and 4,842.10

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Solution

The fourth proportional to 4,842.10, 6,770.30 and 4,842.10 is: 6,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.10 : 6,770.30 = 4,842.10 : x
  2. Step 2: Convert to fraction form
    4,842.10/6,770.30 = 4,842.10/x
  3. Step 3: Cross multiply
    4,842.10x = 6,770.30 × 4,842.10
  4. Step 4: Simplify right side
    4,842.10x = 32,782,469.63
  5. Step 5: Solve for x
    x = 32,782,469.63/4,842.10
  6. Step 6: Final answer
    x = 6,770.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.