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Finding the Fourth Proportional to 14,697.32, 20,282.53 and 7,983.08

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Solution

The fourth proportional to 14,697.32, 20,282.53 and 7,983.08 is: 11,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.32 : 20,282.53 = 7,983.08 : x
  2. Step 2: Convert to fraction form
    14,697.32/20,282.53 = 7,983.08/x
  3. Step 3: Cross multiply
    14,697.32x = 20,282.53 × 7,983.08
  4. Step 4: Simplify right side
    14,697.32x = 161,917,063.84
  5. Step 5: Solve for x
    x = 161,917,063.84/14,697.32
  6. Step 6: Final answer
    x = 11,016.77

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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.