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Finding the Fourth Proportional to 13,613.52, 18,784.64 and 7,644.32

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Solution

The fourth proportional to 13,613.52, 18,784.64 and 7,644.32 is: 10,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.52 : 18,784.64 = 7,644.32 : x
  2. Step 2: Convert to fraction form
    13,613.52/18,784.64 = 7,644.32/x
  3. Step 3: Cross multiply
    13,613.52x = 18,784.64 × 7,644.32
  4. Step 4: Simplify right side
    13,613.52x = 143,595,799.24
  5. Step 5: Solve for x
    x = 143,595,799.24/13,613.52
  6. Step 6: Final answer
    x = 10,548.03

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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.