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Finding the Fourth Proportional to 4,966.60, 7,475.11 and 3,740.20

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Solution

The fourth proportional to 4,966.60, 7,475.11 and 3,740.20 is: 5,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.60 : 7,475.11 = 3,740.20 : x
  2. Step 2: Convert to fraction form
    4,966.60/7,475.11 = 3,740.20/x
  3. Step 3: Cross multiply
    4,966.60x = 7,475.11 × 3,740.20
  4. Step 4: Simplify right side
    4,966.60x = 27,958,406.42
  5. Step 5: Solve for x
    x = 27,958,406.42/4,966.60
  6. Step 6: Final answer
    x = 5,629.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.