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Finding the Fourth Proportional to 14,697.83, 20,283.22 and 7,983.58

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Solution

The fourth proportional to 14,697.83, 20,283.22 and 7,983.58 is: 11,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.83 : 20,283.22 = 7,983.58 : x
  2. Step 2: Convert to fraction form
    14,697.83/20,283.22 = 7,983.58/x
  3. Step 3: Cross multiply
    14,697.83x = 20,283.22 × 7,983.58
  4. Step 4: Simplify right side
    14,697.83x = 161,932,669.61
  5. Step 5: Solve for x
    x = 161,932,669.61/14,697.83
  6. Step 6: Final answer
    x = 11,017.46

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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.