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Finding the Fourth Proportional to 4,601.42, 6,899.12 and 1,970.63

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Solution

The fourth proportional to 4,601.42, 6,899.12 and 1,970.63 is: 2,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.42 : 6,899.12 = 1,970.63 : x
  2. Step 2: Convert to fraction form
    4,601.42/6,899.12 = 1,970.63/x
  3. Step 3: Cross multiply
    4,601.42x = 6,899.12 × 1,970.63
  4. Step 4: Simplify right side
    4,601.42x = 13,595,612.85
  5. Step 5: Solve for x
    x = 13,595,612.85/4,601.42
  6. Step 6: Final answer
    x = 2,954.66

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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.