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Finding the Fourth Proportional to 11,793.60, 16,273.44 and 7,808.40

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Solution

The fourth proportional to 11,793.60, 16,273.44 and 7,808.40 is: 10,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.60 : 16,273.44 = 7,808.40 : x
  2. Step 2: Convert to fraction form
    11,793.60/16,273.44 = 7,808.40/x
  3. Step 3: Cross multiply
    11,793.60x = 16,273.44 × 7,808.40
  4. Step 4: Simplify right side
    11,793.60x = 127,069,528.90
  5. Step 5: Solve for x
    x = 127,069,528.90/11,793.60
  6. Step 6: Final answer
    x = 10,774.45

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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.