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Finding the Fourth Proportional to 12,698.49, 17,524.98 and 7,393.67

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Solution

The fourth proportional to 12,698.49, 17,524.98 and 7,393.67 is: 10,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.49 : 17,524.98 = 7,393.67 : x
  2. Step 2: Convert to fraction form
    12,698.49/17,524.98 = 7,393.67/x
  3. Step 3: Cross multiply
    12,698.49x = 17,524.98 × 7,393.67
  4. Step 4: Simplify right side
    12,698.49x = 129,573,831.25
  5. Step 5: Solve for x
    x = 129,573,831.25/12,698.49
  6. Step 6: Final answer
    x = 10,203.88

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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.