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Finding the Fourth Proportional to 12,129.60, 16,740.72 and 7,096.80

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Solution

The fourth proportional to 12,129.60, 16,740.72 and 7,096.80 is: 9,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.60 : 16,740.72 = 7,096.80 : x
  2. Step 2: Convert to fraction form
    12,129.60/16,740.72 = 7,096.80/x
  3. Step 3: Cross multiply
    12,129.60x = 16,740.72 × 7,096.80
  4. Step 4: Simplify right side
    12,129.60x = 118,805,541.70
  5. Step 5: Solve for x
    x = 118,805,541.70/12,129.60
  6. Step 6: Final answer
    x = 9,794.68

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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.