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Finding the Fourth Proportional to 13,000.32, 17,941.27 and 7,333.03

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Solution

The fourth proportional to 13,000.32, 17,941.27 and 7,333.03 is: 10,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.32 : 17,941.27 = 7,333.03 : x
  2. Step 2: Convert to fraction form
    13,000.32/17,941.27 = 7,333.03/x
  3. Step 3: Cross multiply
    13,000.32x = 17,941.27 × 7,333.03
  4. Step 4: Simplify right side
    13,000.32x = 131,563,871.15
  5. Step 5: Solve for x
    x = 131,563,871.15/13,000.32
  6. Step 6: Final answer
    x = 10,120.05

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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.