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Finding the Fourth Proportional to 12,160.44, 16,774.02 and 7,680.60

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Solution

The fourth proportional to 12,160.44, 16,774.02 and 7,680.60 is: 10,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.44 : 16,774.02 = 7,680.60 : x
  2. Step 2: Convert to fraction form
    12,160.44/16,774.02 = 7,680.60/x
  3. Step 3: Cross multiply
    12,160.44x = 16,774.02 × 7,680.60
  4. Step 4: Simplify right side
    12,160.44x = 128,834,538.01
  5. Step 5: Solve for x
    x = 128,834,538.01/12,160.44
  6. Step 6: Final answer
    x = 10,594.56

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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.