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Finding the Fourth Proportional to 13,175.56, 19,741.02 and 7,970.50

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Solution

The fourth proportional to 13,175.56, 19,741.02 and 7,970.50 is: 11,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.56 : 19,741.02 = 7,970.50 : x
  2. Step 2: Convert to fraction form
    13,175.56/19,741.02 = 7,970.50/x
  3. Step 3: Cross multiply
    13,175.56x = 19,741.02 × 7,970.50
  4. Step 4: Simplify right side
    13,175.56x = 157,345,799.91
  5. Step 5: Solve for x
    x = 157,345,799.91/13,175.56
  6. Step 6: Final answer
    x = 11,942.25

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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.