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Finding the Fourth Proportional to 6,461.98, 9,693.02 and 1,782.25

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Solution

The fourth proportional to 6,461.98, 9,693.02 and 1,782.25 is: 2,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.98 : 9,693.02 = 1,782.25 : x
  2. Step 2: Convert to fraction form
    6,461.98/9,693.02 = 1,782.25/x
  3. Step 3: Cross multiply
    6,461.98x = 9,693.02 × 1,782.25
  4. Step 4: Simplify right side
    6,461.98x = 17,275,365.12
  5. Step 5: Solve for x
    x = 17,275,365.12/6,461.98
  6. Step 6: Final answer
    x = 2,673.39

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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.