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Finding the Fourth Proportional to 6,617.36, 9,132.10 and 3,784.99

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Solution

The fourth proportional to 6,617.36, 9,132.10 and 3,784.99 is: 5,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.36 : 9,132.10 = 3,784.99 : x
  2. Step 2: Convert to fraction form
    6,617.36/9,132.10 = 3,784.99/x
  3. Step 3: Cross multiply
    6,617.36x = 9,132.10 × 3,784.99
  4. Step 4: Simplify right side
    6,617.36x = 34,564,888.25
  5. Step 5: Solve for x
    x = 34,564,888.25/6,617.36
  6. Step 6: Final answer
    x = 5,223.37

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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.