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Finding the Fourth Proportional to 14,697.76, 20,283.06 and 7,983.52

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Solution

The fourth proportional to 14,697.76, 20,283.06 and 7,983.52 is: 11,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.76 : 20,283.06 = 7,983.52 : x
  2. Step 2: Convert to fraction form
    14,697.76/20,283.06 = 7,983.52/x
  3. Step 3: Cross multiply
    14,697.76x = 20,283.06 × 7,983.52
  4. Step 4: Simplify right side
    14,697.76x = 161,930,073.84
  5. Step 5: Solve for x
    x = 161,930,073.84/14,697.76
  6. Step 6: Final answer
    x = 11,017.33

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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.