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Finding the Fourth Proportional to 10,946.60, 16,395.60 and 9,002.60

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Solution

The fourth proportional to 10,946.60, 16,395.60 and 9,002.60 is: 13,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.60 : 16,395.60 = 9,002.60 : x
  2. Step 2: Convert to fraction form
    10,946.60/16,395.60 = 9,002.60/x
  3. Step 3: Cross multiply
    10,946.60x = 16,395.60 × 9,002.60
  4. Step 4: Simplify right side
    10,946.60x = 147,603,028.56
  5. Step 5: Solve for x
    x = 147,603,028.56/10,946.60
  6. Step 6: Final answer
    x = 13,483.92

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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.