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Finding the Fourth Proportional to 11,886.70, 16,405.74 and 7,643.02

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Solution

The fourth proportional to 11,886.70, 16,405.74 and 7,643.02 is: 10,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.70 : 16,405.74 = 7,643.02 : x
  2. Step 2: Convert to fraction form
    11,886.70/16,405.74 = 7,643.02/x
  3. Step 3: Cross multiply
    11,886.70x = 16,405.74 × 7,643.02
  4. Step 4: Simplify right side
    11,886.70x = 125,389,398.93
  5. Step 5: Solve for x
    x = 125,389,398.93/11,886.70
  6. Step 6: Final answer
    x = 10,548.71

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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.