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Finding the Fourth Proportional to 6,448.53, 9,671.22 and 2,065.08

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Solution

The fourth proportional to 6,448.53, 9,671.22 and 2,065.08 is: 3,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.53 : 9,671.22 = 2,065.08 : x
  2. Step 2: Convert to fraction form
    6,448.53/9,671.22 = 2,065.08/x
  3. Step 3: Cross multiply
    6,448.53x = 9,671.22 × 2,065.08
  4. Step 4: Simplify right side
    6,448.53x = 19,971,843.00
  5. Step 5: Solve for x
    x = 19,971,843.00/6,448.53
  6. Step 6: Final answer
    x = 3,097.12

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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.