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Finding the Fourth Proportional to 15,734.70, 21,713.76 and 9,020.34

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Solution

The fourth proportional to 15,734.70, 21,713.76 and 9,020.34 is: 12,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.70 : 21,713.76 = 9,020.34 : x
  2. Step 2: Convert to fraction form
    15,734.70/21,713.76 = 9,020.34/x
  3. Step 3: Cross multiply
    15,734.70x = 21,713.76 × 9,020.34
  4. Step 4: Simplify right side
    15,734.70x = 195,865,497.88
  5. Step 5: Solve for x
    x = 195,865,497.88/15,734.70
  6. Step 6: Final answer
    x = 12,448.00

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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.