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Finding the Fourth Proportional to 4,713.66, 6,502.62 and 2,824.34

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Solution

The fourth proportional to 4,713.66, 6,502.62 and 2,824.34 is: 3,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.66 : 6,502.62 = 2,824.34 : x
  2. Step 2: Convert to fraction form
    4,713.66/6,502.62 = 2,824.34/x
  3. Step 3: Cross multiply
    4,713.66x = 6,502.62 × 2,824.34
  4. Step 4: Simplify right side
    4,713.66x = 18,365,609.77
  5. Step 5: Solve for x
    x = 18,365,609.77/4,713.66
  6. Step 6: Final answer
    x = 3,896.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.