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Finding the Fourth Proportional to 14,384, 19,849.92 and 9,970.56

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Solution

The fourth proportional to 14,384, 19,849.92 and 9,970.56 is: 13,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384 : 19,849.92 = 9,970.56 : x
  2. Step 2: Convert to fraction form
    14,384/19,849.92 = 9,970.56/x
  3. Step 3: Cross multiply
    14,384x = 19,849.92 × 9,970.56
  4. Step 4: Simplify right side
    14,384x = 197,914,818.36
  5. Step 5: Solve for x
    x = 197,914,818.36/14,384
  6. Step 6: Final answer
    x = 13,759.37

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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.