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Finding the Fourth Proportional to 12,101.69, 16,701.94 and 7,325.49

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Solution

The fourth proportional to 12,101.69, 16,701.94 and 7,325.49 is: 10,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.69 : 16,701.94 = 7,325.49 : x
  2. Step 2: Convert to fraction form
    12,101.69/16,701.94 = 7,325.49/x
  3. Step 3: Cross multiply
    12,101.69x = 16,701.94 × 7,325.49
  4. Step 4: Simplify right side
    12,101.69x = 122,349,894.45
  5. Step 5: Solve for x
    x = 122,349,894.45/12,101.69
  6. Step 6: Final answer
    x = 10,110.15

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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.