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Finding the Fourth Proportional to 13,014.64, 17,960.22 and 7,349.63

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Solution

The fourth proportional to 13,014.64, 17,960.22 and 7,349.63 is: 10,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.64 : 17,960.22 = 7,349.63 : x
  2. Step 2: Convert to fraction form
    13,014.64/17,960.22 = 7,349.63/x
  3. Step 3: Cross multiply
    13,014.64x = 17,960.22 × 7,349.63
  4. Step 4: Simplify right side
    13,014.64x = 132,000,971.72
  5. Step 5: Solve for x
    x = 132,000,971.72/13,014.64
  6. Step 6: Final answer
    x = 10,142.50

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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.