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Finding the Fourth Proportional to 6,598.09, 9,900.78 and 3,966.40

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Solution

The fourth proportional to 6,598.09, 9,900.78 and 3,966.40 is: 5,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.09 : 9,900.78 = 3,966.40 : x
  2. Step 2: Convert to fraction form
    6,598.09/9,900.78 = 3,966.40/x
  3. Step 3: Cross multiply
    6,598.09x = 9,900.78 × 3,966.40
  4. Step 4: Simplify right side
    6,598.09x = 39,270,453.79
  5. Step 5: Solve for x
    x = 39,270,453.79/6,598.09
  6. Step 6: Final answer
    x = 5,951.79

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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.