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Finding the Fourth Proportional to 10,945.44, 16,411.65 and 8,599.68

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Solution

The fourth proportional to 10,945.44, 16,411.65 and 8,599.68 is: 12,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.44 : 16,411.65 = 8,599.68 : x
  2. Step 2: Convert to fraction form
    10,945.44/16,411.65 = 8,599.68/x
  3. Step 3: Cross multiply
    10,945.44x = 16,411.65 × 8,599.68
  4. Step 4: Simplify right side
    10,945.44x = 141,134,938.27
  5. Step 5: Solve for x
    x = 141,134,938.27/10,945.44
  6. Step 6: Final answer
    x = 12,894.41

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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.