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Finding the Fourth Proportional to 12,496.40, 17,242 and 7,777.34

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Solution

The fourth proportional to 12,496.40, 17,242 and 7,777.34 is: 10,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.40 : 17,242 = 7,777.34 : x
  2. Step 2: Convert to fraction form
    12,496.40/17,242 = 7,777.34/x
  3. Step 3: Cross multiply
    12,496.40x = 17,242 × 7,777.34
  4. Step 4: Simplify right side
    12,496.40x = 134,096,896.28
  5. Step 5: Solve for x
    x = 134,096,896.28/12,496.40
  6. Step 6: Final answer
    x = 10,730.84

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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.