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Finding the Fourth Proportional to 15,123.60, 20,869.60 and 8,409.10

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Solution

The fourth proportional to 15,123.60, 20,869.60 and 8,409.10 is: 11,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.60 : 20,869.60 = 8,409.10 : x
  2. Step 2: Convert to fraction form
    15,123.60/20,869.60 = 8,409.10/x
  3. Step 3: Cross multiply
    15,123.60x = 20,869.60 × 8,409.10
  4. Step 4: Simplify right side
    15,123.60x = 175,494,553.36
  5. Step 5: Solve for x
    x = 175,494,553.36/15,123.60
  6. Step 6: Final answer
    x = 11,604.02

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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.