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Finding the Fourth Proportional to 9,549.88, 14,274.38 and 8,611.08

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Solution

The fourth proportional to 9,549.88, 14,274.38 and 8,611.08 is: 12,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.88 : 14,274.38 = 8,611.08 : x
  2. Step 2: Convert to fraction form
    9,549.88/14,274.38 = 8,611.08/x
  3. Step 3: Cross multiply
    9,549.88x = 14,274.38 × 8,611.08
  4. Step 4: Simplify right side
    9,549.88x = 122,917,828.13
  5. Step 5: Solve for x
    x = 122,917,828.13/9,549.88
  6. Step 6: Final answer
    x = 12,871.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.