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Finding the Fourth Proportional to 14,783.92, 20,402 and 8,069.48

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Solution

The fourth proportional to 14,783.92, 20,402 and 8,069.48 is: 11,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.92 : 20,402 = 8,069.48 : x
  2. Step 2: Convert to fraction form
    14,783.92/20,402 = 8,069.48/x
  3. Step 3: Cross multiply
    14,783.92x = 20,402 × 8,069.48
  4. Step 4: Simplify right side
    14,783.92x = 164,633,530.96
  5. Step 5: Solve for x
    x = 164,633,530.96/14,783.92
  6. Step 6: Final answer
    x = 11,135.99

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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.