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Finding the Fourth Proportional to 14,037, 19,372.14 and 8,070.54

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Solution

The fourth proportional to 14,037, 19,372.14 and 8,070.54 is: 11,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037 : 19,372.14 = 8,070.54 : x
  2. Step 2: Convert to fraction form
    14,037/19,372.14 = 8,070.54/x
  3. Step 3: Cross multiply
    14,037x = 19,372.14 × 8,070.54
  4. Step 4: Simplify right side
    14,037x = 156,343,630.76
  5. Step 5: Solve for x
    x = 156,343,630.76/14,037
  6. Step 6: Final answer
    x = 11,137.97

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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.