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Finding the Fourth Proportional to 6,987.07, 9,635.54 and 4,464.80

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Solution

The fourth proportional to 6,987.07, 9,635.54 and 4,464.80 is: 6,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.07 : 9,635.54 = 4,464.80 : x
  2. Step 2: Convert to fraction form
    6,987.07/9,635.54 = 4,464.80/x
  3. Step 3: Cross multiply
    6,987.07x = 9,635.54 × 4,464.80
  4. Step 4: Simplify right side
    6,987.07x = 43,020,724.62
  5. Step 5: Solve for x
    x = 43,020,724.62/6,987.07
  6. Step 6: Final answer
    x = 6,157.19

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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.