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Finding the Fourth Proportional to 6,594.64, 9,892.86 and 2,434.12

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Solution

The fourth proportional to 6,594.64, 9,892.86 and 2,434.12 is: 3,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.64 : 9,892.86 = 2,434.12 : x
  2. Step 2: Convert to fraction form
    6,594.64/9,892.86 = 2,434.12/x
  3. Step 3: Cross multiply
    6,594.64x = 9,892.86 × 2,434.12
  4. Step 4: Simplify right side
    6,594.64x = 24,080,408.38
  5. Step 5: Solve for x
    x = 24,080,408.38/6,594.64
  6. Step 6: Final answer
    x = 3,651.51

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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.