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Finding the Fourth Proportional to 8,502.09, 11,730.20 and 4,964.55

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Solution

The fourth proportional to 8,502.09, 11,730.20 and 4,964.55 is: 6,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.09 : 11,730.20 = 4,964.55 : x
  2. Step 2: Convert to fraction form
    8,502.09/11,730.20 = 4,964.55/x
  3. Step 3: Cross multiply
    8,502.09x = 11,730.20 × 4,964.55
  4. Step 4: Simplify right side
    8,502.09x = 58,235,139.59
  5. Step 5: Solve for x
    x = 58,235,139.59/8,502.09
  6. Step 6: Final answer
    x = 6,849.51

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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.