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Finding the Fourth Proportional to 8,196, 11,310.96 and 4,659.36

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Solution

The fourth proportional to 8,196, 11,310.96 and 4,659.36 is: 6,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196 : 11,310.96 = 4,659.36 : x
  2. Step 2: Convert to fraction form
    8,196/11,310.96 = 4,659.36/x
  3. Step 3: Cross multiply
    8,196x = 11,310.96 × 4,659.36
  4. Step 4: Simplify right side
    8,196x = 52,701,834.59
  5. Step 5: Solve for x
    x = 52,701,834.59/8,196
  6. Step 6: Final answer
    x = 6,430.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.