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Finding the Fourth Proportional to 8,549.94, 11,796.35 and 8,268.06

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Solution

The fourth proportional to 8,549.94, 11,796.35 and 8,268.06 is: 11,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.94 : 11,796.35 = 8,268.06 : x
  2. Step 2: Convert to fraction form
    8,549.94/11,796.35 = 8,268.06/x
  3. Step 3: Cross multiply
    8,549.94x = 11,796.35 × 8,268.06
  4. Step 4: Simplify right side
    8,549.94x = 97,532,888.24
  5. Step 5: Solve for x
    x = 97,532,888.24/8,549.94
  6. Step 6: Final answer
    x = 11,407.44

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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.