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Finding the Fourth Proportional to 4,709.97, 7,066.19 and 1,423.15

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Solution

The fourth proportional to 4,709.97, 7,066.19 and 1,423.15 is: 2,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.97 : 7,066.19 = 1,423.15 : x
  2. Step 2: Convert to fraction form
    4,709.97/7,066.19 = 1,423.15/x
  3. Step 3: Cross multiply
    4,709.97x = 7,066.19 × 1,423.15
  4. Step 4: Simplify right side
    4,709.97x = 10,056,248.30
  5. Step 5: Solve for x
    x = 10,056,248.30/4,709.97
  6. Step 6: Final answer
    x = 2,135.10

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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.