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Finding the Fourth Proportional to 13,026.76, 19,530.86 and 6,097.48

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Solution

The fourth proportional to 13,026.76, 19,530.86 and 6,097.48 is: 9,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.76 : 19,530.86 = 6,097.48 : x
  2. Step 2: Convert to fraction form
    13,026.76/19,530.86 = 6,097.48/x
  3. Step 3: Cross multiply
    13,026.76x = 19,530.86 × 6,097.48
  4. Step 4: Simplify right side
    13,026.76x = 119,089,028.23
  5. Step 5: Solve for x
    x = 119,089,028.23/13,026.76
  6. Step 6: Final answer
    x = 9,141.88

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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.