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Finding the Fourth Proportional to 12,146.63, 16,763.54 and 7,110.54

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Solution

The fourth proportional to 12,146.63, 16,763.54 and 7,110.54 is: 9,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.63 : 16,763.54 = 7,110.54 : x
  2. Step 2: Convert to fraction form
    12,146.63/16,763.54 = 7,110.54/x
  3. Step 3: Cross multiply
    12,146.63x = 16,763.54 × 7,110.54
  4. Step 4: Simplify right side
    12,146.63x = 119,197,786.16
  5. Step 5: Solve for x
    x = 119,197,786.16/12,146.63
  6. Step 6: Final answer
    x = 9,813.24

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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.