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Finding the Fourth Proportional to 11,656.70, 17,464.80 and 10,514.60

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Solution

The fourth proportional to 11,656.70, 17,464.80 and 10,514.60 is: 15,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.70 : 17,464.80 = 10,514.60 : x
  2. Step 2: Convert to fraction form
    11,656.70/17,464.80 = 10,514.60/x
  3. Step 3: Cross multiply
    11,656.70x = 17,464.80 × 10,514.60
  4. Step 4: Simplify right side
    11,656.70x = 183,635,386.08
  5. Step 5: Solve for x
    x = 183,635,386.08/11,656.70
  6. Step 6: Final answer
    x = 15,753.63

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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.