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Finding the Fourth Proportional to 14,685.26, 20,264.97 and 7,970.84

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Solution

The fourth proportional to 14,685.26, 20,264.97 and 7,970.84 is: 10,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.26 : 20,264.97 = 7,970.84 : x
  2. Step 2: Convert to fraction form
    14,685.26/20,264.97 = 7,970.84/x
  3. Step 3: Cross multiply
    14,685.26x = 20,264.97 × 7,970.84
  4. Step 4: Simplify right side
    14,685.26x = 161,528,732.15
  5. Step 5: Solve for x
    x = 161,528,732.15/14,685.26
  6. Step 6: Final answer
    x = 10,999.38

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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.