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Finding the Fourth Proportional to 11,006.40, 16,509.60 and 10,123.20

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Solution

The fourth proportional to 11,006.40, 16,509.60 and 10,123.20 is: 15,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.40 : 16,509.60 = 10,123.20 : x
  2. Step 2: Convert to fraction form
    11,006.40/16,509.60 = 10,123.20/x
  3. Step 3: Cross multiply
    11,006.40x = 16,509.60 × 10,123.20
  4. Step 4: Simplify right side
    11,006.40x = 167,129,982.72
  5. Step 5: Solve for x
    x = 167,129,982.72/11,006.40
  6. Step 6: Final answer
    x = 15,184.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.