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Finding the Fourth Proportional to 9,894.36, 13,660.59 and 8,830.29

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Solution

The fourth proportional to 9,894.36, 13,660.59 and 8,830.29 is: 12,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.36 : 13,660.59 = 8,830.29 : x
  2. Step 2: Convert to fraction form
    9,894.36/13,660.59 = 8,830.29/x
  3. Step 3: Cross multiply
    9,894.36x = 13,660.59 × 8,830.29
  4. Step 4: Simplify right side
    9,894.36x = 120,626,971.27
  5. Step 5: Solve for x
    x = 120,626,971.27/9,894.36
  6. Step 6: Final answer
    x = 12,191.49

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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.