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Finding the Fourth Proportional to 8,509.50, 11,743.11 and 4,975.68

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Solution

The fourth proportional to 8,509.50, 11,743.11 and 4,975.68 is: 6,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.50 : 11,743.11 = 4,975.68 : x
  2. Step 2: Convert to fraction form
    8,509.50/11,743.11 = 4,975.68/x
  3. Step 3: Cross multiply
    8,509.50x = 11,743.11 × 4,975.68
  4. Step 4: Simplify right side
    8,509.50x = 58,429,957.56
  5. Step 5: Solve for x
    x = 58,429,957.56/8,509.50
  6. Step 6: Final answer
    x = 6,866.44

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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.