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Finding the Fourth Proportional to 8,670.46, 13,007.73 and 2,827.07

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Solution

The fourth proportional to 8,670.46, 13,007.73 and 2,827.07 is: 4,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.46 : 13,007.73 = 2,827.07 : x
  2. Step 2: Convert to fraction form
    8,670.46/13,007.73 = 2,827.07/x
  3. Step 3: Cross multiply
    8,670.46x = 13,007.73 × 2,827.07
  4. Step 4: Simplify right side
    8,670.46x = 36,773,698.21
  5. Step 5: Solve for x
    x = 36,773,698.21/8,670.46
  6. Step 6: Final answer
    x = 4,241.27

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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.