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Finding the Fourth Proportional to 14,046.60, 19,384.32 and 7,759

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Solution

The fourth proportional to 14,046.60, 19,384.32 and 7,759 is: 10,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.60 : 19,384.32 = 7,759 : x
  2. Step 2: Convert to fraction form
    14,046.60/19,384.32 = 7,759/x
  3. Step 3: Cross multiply
    14,046.60x = 19,384.32 × 7,759
  4. Step 4: Simplify right side
    14,046.60x = 150,402,938.88
  5. Step 5: Solve for x
    x = 150,402,938.88/14,046.60
  6. Step 6: Final answer
    x = 10,707.43

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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.