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Finding the Fourth Proportional to 6,661.54, 9,194.01 and 3,973.10

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Solution

The fourth proportional to 6,661.54, 9,194.01 and 3,973.10 is: 5,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.54 : 9,194.01 = 3,973.10 : x
  2. Step 2: Convert to fraction form
    6,661.54/9,194.01 = 3,973.10/x
  3. Step 3: Cross multiply
    6,661.54x = 9,194.01 × 3,973.10
  4. Step 4: Simplify right side
    6,661.54x = 36,528,721.13
  5. Step 5: Solve for x
    x = 36,528,721.13/6,661.54
  6. Step 6: Final answer
    x = 5,483.53

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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.