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Finding the Fourth Proportional to 4,662.55, 6,973.17 and 4,146.18

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Solution

The fourth proportional to 4,662.55, 6,973.17 and 4,146.18 is: 6,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.55 : 6,973.17 = 4,146.18 : x
  2. Step 2: Convert to fraction form
    4,662.55/6,973.17 = 4,146.18/x
  3. Step 3: Cross multiply
    4,662.55x = 6,973.17 × 4,146.18
  4. Step 4: Simplify right side
    4,662.55x = 28,912,017.99
  5. Step 5: Solve for x
    x = 28,912,017.99/4,662.55
  6. Step 6: Final answer
    x = 6,200.90

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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.