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Finding the Fourth Proportional to 13,613.40, 18,784.98 and 7,644.24

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Solution

The fourth proportional to 13,613.40, 18,784.98 and 7,644.24 is: 10,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.40 : 18,784.98 = 7,644.24 : x
  2. Step 2: Convert to fraction form
    13,613.40/18,784.98 = 7,644.24/x
  3. Step 3: Cross multiply
    13,613.40x = 18,784.98 × 7,644.24
  4. Step 4: Simplify right side
    13,613.40x = 143,596,895.52
  5. Step 5: Solve for x
    x = 143,596,895.52/13,613.40
  6. Step 6: Final answer
    x = 10,548.20

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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.