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Finding the Fourth Proportional to 12,294.03, 18,409.91 and 7,623.16

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Solution

The fourth proportional to 12,294.03, 18,409.91 and 7,623.16 is: 11,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.03 : 18,409.91 = 7,623.16 : x
  2. Step 2: Convert to fraction form
    12,294.03/18,409.91 = 7,623.16/x
  3. Step 3: Cross multiply
    12,294.03x = 18,409.91 × 7,623.16
  4. Step 4: Simplify right side
    12,294.03x = 140,341,737.52
  5. Step 5: Solve for x
    x = 140,341,737.52/12,294.03
  6. Step 6: Final answer
    x = 11,415.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.