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Finding the Fourth Proportional to 14,684.53, 20,265.02 and 7,970.44

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Solution

The fourth proportional to 14,684.53, 20,265.02 and 7,970.44 is: 10,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.53 : 20,265.02 = 7,970.44 : x
  2. Step 2: Convert to fraction form
    14,684.53/20,265.02 = 7,970.44/x
  3. Step 3: Cross multiply
    14,684.53x = 20,265.02 × 7,970.44
  4. Step 4: Simplify right side
    14,684.53x = 161,521,126.01
  5. Step 5: Solve for x
    x = 161,521,126.01/14,684.53
  6. Step 6: Final answer
    x = 10,999.41

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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.