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Finding the Fourth Proportional to 6,444.63, 9,667.16 and 3,066.71

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Solution

The fourth proportional to 6,444.63, 9,667.16 and 3,066.71 is: 4,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.63 : 9,667.16 = 3,066.71 : x
  2. Step 2: Convert to fraction form
    6,444.63/9,667.16 = 3,066.71/x
  3. Step 3: Cross multiply
    6,444.63x = 9,667.16 × 3,066.71
  4. Step 4: Simplify right side
    6,444.63x = 29,646,376.24
  5. Step 5: Solve for x
    x = 29,646,376.24/6,444.63
  6. Step 6: Final answer
    x = 4,600.17

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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.