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Finding the Fourth Proportional to 10,235.70, 14,119.65 and 6,043.14

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Solution

The fourth proportional to 10,235.70, 14,119.65 and 6,043.14 is: 8,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.70 : 14,119.65 = 6,043.14 : x
  2. Step 2: Convert to fraction form
    10,235.70/14,119.65 = 6,043.14/x
  3. Step 3: Cross multiply
    10,235.70x = 14,119.65 × 6,043.14
  4. Step 4: Simplify right side
    10,235.70x = 85,327,021.70
  5. Step 5: Solve for x
    x = 85,327,021.70/10,235.70
  6. Step 6: Final answer
    x = 8,336.22

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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.