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Finding the Fourth Proportional to 12,691.78, 19,037.70 and 3,457.78

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Solution

The fourth proportional to 12,691.78, 19,037.70 and 3,457.78 is: 5,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.78 : 19,037.70 = 3,457.78 : x
  2. Step 2: Convert to fraction form
    12,691.78/19,037.70 = 3,457.78/x
  3. Step 3: Cross multiply
    12,691.78x = 19,037.70 × 3,457.78
  4. Step 4: Simplify right side
    12,691.78x = 65,828,178.31
  5. Step 5: Solve for x
    x = 65,828,178.31/12,691.78
  6. Step 6: Final answer
    x = 5,186.68

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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.