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Finding the Fourth Proportional to 10,916.70, 16,375.05 and 9,276.45

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Solution

The fourth proportional to 10,916.70, 16,375.05 and 9,276.45 is: 13,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.70 : 16,375.05 = 9,276.45 : x
  2. Step 2: Convert to fraction form
    10,916.70/16,375.05 = 9,276.45/x
  3. Step 3: Cross multiply
    10,916.70x = 16,375.05 × 9,276.45
  4. Step 4: Simplify right side
    10,916.70x = 151,902,332.57
  5. Step 5: Solve for x
    x = 151,902,332.57/10,916.70
  6. Step 6: Final answer
    x = 13,914.68

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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.