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Finding the Fourth Proportional to 13,013.40, 17,961.32 and 8,230.32

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Solution

The fourth proportional to 13,013.40, 17,961.32 and 8,230.32 is: 11,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.40 : 17,961.32 = 8,230.32 : x
  2. Step 2: Convert to fraction form
    13,013.40/17,961.32 = 8,230.32/x
  3. Step 3: Cross multiply
    13,013.40x = 17,961.32 × 8,230.32
  4. Step 4: Simplify right side
    13,013.40x = 147,827,411.22
  5. Step 5: Solve for x
    x = 147,827,411.22/13,013.40
  6. Step 6: Final answer
    x = 11,359.63

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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.