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Finding the Fourth Proportional to 12,598.80, 18,902.64 and 7,922.16

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Solution

The fourth proportional to 12,598.80, 18,902.64 and 7,922.16 is: 11,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.80 : 18,902.64 = 7,922.16 : x
  2. Step 2: Convert to fraction form
    12,598.80/18,902.64 = 7,922.16/x
  3. Step 3: Cross multiply
    12,598.80x = 18,902.64 × 7,922.16
  4. Step 4: Simplify right side
    12,598.80x = 149,749,738.50
  5. Step 5: Solve for x
    x = 149,749,738.50/12,598.80
  6. Step 6: Final answer
    x = 11,886.03

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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.