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Finding the Fourth Proportional to 5,307.26, 7,962.01 and 1,797.09

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Solution

The fourth proportional to 5,307.26, 7,962.01 and 1,797.09 is: 2,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.26 : 7,962.01 = 1,797.09 : x
  2. Step 2: Convert to fraction form
    5,307.26/7,962.01 = 1,797.09/x
  3. Step 3: Cross multiply
    5,307.26x = 7,962.01 × 1,797.09
  4. Step 4: Simplify right side
    5,307.26x = 14,308,458.99
  5. Step 5: Solve for x
    x = 14,308,458.99/5,307.26
  6. Step 6: Final answer
    x = 2,696.02

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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.