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Finding the Fourth Proportional to 10,817.60, 16,233.60 and 6,137.60

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Solution

The fourth proportional to 10,817.60, 16,233.60 and 6,137.60 is: 9,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.60 : 16,233.60 = 6,137.60 : x
  2. Step 2: Convert to fraction form
    10,817.60/16,233.60 = 6,137.60/x
  3. Step 3: Cross multiply
    10,817.60x = 16,233.60 × 6,137.60
  4. Step 4: Simplify right side
    10,817.60x = 99,635,343.36
  5. Step 5: Solve for x
    x = 99,635,343.36/10,817.60
  6. Step 6: Final answer
    x = 9,210.49

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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.