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Finding the Fourth Proportional to 7,180.97, 9,911.16 and 4,659.54

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Solution

The fourth proportional to 7,180.97, 9,911.16 and 4,659.54 is: 6,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.97 : 9,911.16 = 4,659.54 : x
  2. Step 2: Convert to fraction form
    7,180.97/9,911.16 = 4,659.54/x
  3. Step 3: Cross multiply
    7,180.97x = 9,911.16 × 4,659.54
  4. Step 4: Simplify right side
    7,180.97x = 46,181,482.89
  5. Step 5: Solve for x
    x = 46,181,482.89/7,180.97
  6. Step 6: Final answer
    x = 6,431.09

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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.