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Finding the Fourth Proportional to 12,496.68, 17,245.44 and 6,831.30

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Solution

The fourth proportional to 12,496.68, 17,245.44 and 6,831.30 is: 9,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.68 : 17,245.44 = 6,831.30 : x
  2. Step 2: Convert to fraction form
    12,496.68/17,245.44 = 6,831.30/x
  3. Step 3: Cross multiply
    12,496.68x = 17,245.44 × 6,831.30
  4. Step 4: Simplify right side
    12,496.68x = 117,808,774.27
  5. Step 5: Solve for x
    x = 117,808,774.27/12,496.68
  6. Step 6: Final answer
    x = 9,427.21

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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.