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Finding the Fourth Proportional to 14,096.70, 19,433.70 and 9,841.68

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Solution

The fourth proportional to 14,096.70, 19,433.70 and 9,841.68 is: 13,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.70 : 19,433.70 = 9,841.68 : x
  2. Step 2: Convert to fraction form
    14,096.70/19,433.70 = 9,841.68/x
  3. Step 3: Cross multiply
    14,096.70x = 19,433.70 × 9,841.68
  4. Step 4: Simplify right side
    14,096.70x = 191,260,256.62
  5. Step 5: Solve for x
    x = 191,260,256.62/14,096.70
  6. Step 6: Final answer
    x = 13,567.73

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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.