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Finding the Fourth Proportional to 13,026.56, 17,959.74 and 8,302.64

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Solution

The fourth proportional to 13,026.56, 17,959.74 and 8,302.64 is: 11,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.56 : 17,959.74 = 8,302.64 : x
  2. Step 2: Convert to fraction form
    13,026.56/17,959.74 = 8,302.64/x
  3. Step 3: Cross multiply
    13,026.56x = 17,959.74 × 8,302.64
  4. Step 4: Simplify right side
    13,026.56x = 149,113,255.71
  5. Step 5: Solve for x
    x = 149,113,255.71/13,026.56
  6. Step 6: Final answer
    x = 11,446.86

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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.