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Finding the Fourth Proportional to 14,684.75, 20,264.97 and 7,970.37

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Solution

The fourth proportional to 14,684.75, 20,264.97 and 7,970.37 is: 10,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.75 : 20,264.97 = 7,970.37 : x
  2. Step 2: Convert to fraction form
    14,684.75/20,264.97 = 7,970.37/x
  3. Step 3: Cross multiply
    14,684.75x = 20,264.97 × 7,970.37
  4. Step 4: Simplify right side
    14,684.75x = 161,519,411.40
  5. Step 5: Solve for x
    x = 161,519,411.40/14,684.75
  6. Step 6: Final answer
    x = 10,999.13

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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.