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Finding the Fourth Proportional to 12,810.74, 17,687.04 and 8,037.23

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Solution

The fourth proportional to 12,810.74, 17,687.04 and 8,037.23 is: 11,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.74 : 17,687.04 = 8,037.23 : x
  2. Step 2: Convert to fraction form
    12,810.74/17,687.04 = 8,037.23/x
  3. Step 3: Cross multiply
    12,810.74x = 17,687.04 × 8,037.23
  4. Step 4: Simplify right side
    12,810.74x = 142,154,735.13
  5. Step 5: Solve for x
    x = 142,154,735.13/12,810.74
  6. Step 6: Final answer
    x = 11,096.53

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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.