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Finding the Fourth Proportional to 12,597.70, 18,893.16 and 3,830.26

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Solution

The fourth proportional to 12,597.70, 18,893.16 and 3,830.26 is: 5,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.70 : 18,893.16 = 3,830.26 : x
  2. Step 2: Convert to fraction form
    12,597.70/18,893.16 = 3,830.26/x
  3. Step 3: Cross multiply
    12,597.70x = 18,893.16 × 3,830.26
  4. Step 4: Simplify right side
    12,597.70x = 72,365,715.02
  5. Step 5: Solve for x
    x = 72,365,715.02/12,597.70
  6. Step 6: Final answer
    x = 5,744.36

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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.