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Finding the Fourth Proportional to 12,219, 16,862.26 and 7,503.24

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Solution

The fourth proportional to 12,219, 16,862.26 and 7,503.24 is: 10,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219 : 16,862.26 = 7,503.24 : x
  2. Step 2: Convert to fraction form
    12,219/16,862.26 = 7,503.24/x
  3. Step 3: Cross multiply
    12,219x = 16,862.26 × 7,503.24
  4. Step 4: Simplify right side
    12,219x = 126,521,583.72
  5. Step 5: Solve for x
    x = 126,521,583.72/12,219
  6. Step 6: Final answer
    x = 10,354.50

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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.