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Finding the Fourth Proportional to 6,502.84, 9,741.44 and 4,304.92

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Solution

The fourth proportional to 6,502.84, 9,741.44 and 4,304.92 is: 6,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.84 : 9,741.44 = 4,304.92 : x
  2. Step 2: Convert to fraction form
    6,502.84/9,741.44 = 4,304.92/x
  3. Step 3: Cross multiply
    6,502.84x = 9,741.44 × 4,304.92
  4. Step 4: Simplify right side
    6,502.84x = 41,936,119.88
  5. Step 5: Solve for x
    x = 41,936,119.88/6,502.84
  6. Step 6: Final answer
    x = 6,448.89

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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.