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Finding the Fourth Proportional to 12,051.77, 16,627.16 and 7,852.73

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Solution

The fourth proportional to 12,051.77, 16,627.16 and 7,852.73 is: 10,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.77 : 16,627.16 = 7,852.73 : x
  2. Step 2: Convert to fraction form
    12,051.77/16,627.16 = 7,852.73/x
  3. Step 3: Cross multiply
    12,051.77x = 16,627.16 × 7,852.73
  4. Step 4: Simplify right side
    12,051.77x = 130,568,598.15
  5. Step 5: Solve for x
    x = 130,568,598.15/12,051.77
  6. Step 6: Final answer
    x = 10,833.98

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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.