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Finding the Fourth Proportional to 13,429.44, 20,153.88 and 7,597.44

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Solution

The fourth proportional to 13,429.44, 20,153.88 and 7,597.44 is: 11,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.44 : 20,153.88 = 7,597.44 : x
  2. Step 2: Convert to fraction form
    13,429.44/20,153.88 = 7,597.44/x
  3. Step 3: Cross multiply
    13,429.44x = 20,153.88 × 7,597.44
  4. Step 4: Simplify right side
    13,429.44x = 153,117,894.07
  5. Step 5: Solve for x
    x = 153,117,894.07/13,429.44
  6. Step 6: Final answer
    x = 11,401.66

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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.