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Finding the Fourth Proportional to 6,645.16, 9,170.74 and 3,661.00

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Solution

The fourth proportional to 6,645.16, 9,170.74 and 3,661.00 is: 5,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.16 : 9,170.74 = 3,661.00 : x
  2. Step 2: Convert to fraction form
    6,645.16/9,170.74 = 3,661.00/x
  3. Step 3: Cross multiply
    6,645.16x = 9,170.74 × 3,661.00
  4. Step 4: Simplify right side
    6,645.16x = 33,574,029.87
  5. Step 5: Solve for x
    x = 33,574,029.87/6,645.16
  6. Step 6: Final answer
    x = 5,052.40

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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.