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Finding the Fourth Proportional to 14,000.10, 19,319.97 and 7,712.34

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Solution

The fourth proportional to 14,000.10, 19,319.97 and 7,712.34 is: 10,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.10 : 19,319.97 = 7,712.34 : x
  2. Step 2: Convert to fraction form
    14,000.10/19,319.97 = 7,712.34/x
  3. Step 3: Cross multiply
    14,000.10x = 19,319.97 × 7,712.34
  4. Step 4: Simplify right side
    14,000.10x = 149,002,177.43
  5. Step 5: Solve for x
    x = 149,002,177.43/14,000.10
  6. Step 6: Final answer
    x = 10,642.94

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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.