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Finding the Fourth Proportional to 11,646.91, 17,461.14 and 10,853.44

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Solution

The fourth proportional to 11,646.91, 17,461.14 and 10,853.44 is: 16,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.91 : 17,461.14 = 10,853.44 : x
  2. Step 2: Convert to fraction form
    11,646.91/17,461.14 = 10,853.44/x
  3. Step 3: Cross multiply
    11,646.91x = 17,461.14 × 10,853.44
  4. Step 4: Simplify right side
    11,646.91x = 189,513,435.32
  5. Step 5: Solve for x
    x = 189,513,435.32/11,646.91
  6. Step 6: Final answer
    x = 16,271.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.