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Finding the Fourth Proportional to 6,316.16, 9,472.96 and 1,698.08

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Solution

The fourth proportional to 6,316.16, 9,472.96 and 1,698.08 is: 2,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.16 : 9,472.96 = 1,698.08 : x
  2. Step 2: Convert to fraction form
    6,316.16/9,472.96 = 1,698.08/x
  3. Step 3: Cross multiply
    6,316.16x = 9,472.96 × 1,698.08
  4. Step 4: Simplify right side
    6,316.16x = 16,085,843.92
  5. Step 5: Solve for x
    x = 16,085,843.92/6,316.16
  6. Step 6: Final answer
    x = 2,546.78

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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.