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Finding the Fourth Proportional to 6,595.46, 9,894.16 and 1,914.86

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Solution

The fourth proportional to 6,595.46, 9,894.16 and 1,914.86 is: 2,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.46 : 9,894.16 = 1,914.86 : x
  2. Step 2: Convert to fraction form
    6,595.46/9,894.16 = 1,914.86/x
  3. Step 3: Cross multiply
    6,595.46x = 9,894.16 × 1,914.86
  4. Step 4: Simplify right side
    6,595.46x = 18,945,876.96
  5. Step 5: Solve for x
    x = 18,945,876.96/6,595.46
  6. Step 6: Final answer
    x = 2,872.57

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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.