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Finding the Fourth Proportional to 8,164.77, 11,268.99 and 4,810.47

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Solution

The fourth proportional to 8,164.77, 11,268.99 and 4,810.47 is: 6,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.77 : 11,268.99 = 4,810.47 : x
  2. Step 2: Convert to fraction form
    8,164.77/11,268.99 = 4,810.47/x
  3. Step 3: Cross multiply
    8,164.77x = 11,268.99 × 4,810.47
  4. Step 4: Simplify right side
    8,164.77x = 54,209,138.33
  5. Step 5: Solve for x
    x = 54,209,138.33/8,164.77
  6. Step 6: Final answer
    x = 6,639.40

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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.