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Finding the Fourth Proportional to 12,861.82, 19,293.54 and 4,968.10

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Solution

The fourth proportional to 12,861.82, 19,293.54 and 4,968.10 is: 7,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.82 : 19,293.54 = 4,968.10 : x
  2. Step 2: Convert to fraction form
    12,861.82/19,293.54 = 4,968.10/x
  3. Step 3: Cross multiply
    12,861.82x = 19,293.54 × 4,968.10
  4. Step 4: Simplify right side
    12,861.82x = 95,852,236.07
  5. Step 5: Solve for x
    x = 95,852,236.07/12,861.82
  6. Step 6: Final answer
    x = 7,452.46

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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.