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Finding the Fourth Proportional to 6,670.63, 10,004.10 and 2,774.17

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Solution

The fourth proportional to 6,670.63, 10,004.10 and 2,774.17 is: 4,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.63 : 10,004.10 = 2,774.17 : x
  2. Step 2: Convert to fraction form
    6,670.63/10,004.10 = 2,774.17/x
  3. Step 3: Cross multiply
    6,670.63x = 10,004.10 × 2,774.17
  4. Step 4: Simplify right side
    6,670.63x = 27,753,074.10
  5. Step 5: Solve for x
    x = 27,753,074.10/6,670.63
  6. Step 6: Final answer
    x = 4,160.49

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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.