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Finding the Fourth Proportional to 5,973.22, 8,232.06 and 4,627

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Solution

The fourth proportional to 5,973.22, 8,232.06 and 4,627 is: 6,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.22 : 8,232.06 = 4,627 : x
  2. Step 2: Convert to fraction form
    5,973.22/8,232.06 = 4,627/x
  3. Step 3: Cross multiply
    5,973.22x = 8,232.06 × 4,627
  4. Step 4: Simplify right side
    5,973.22x = 38,089,741.62
  5. Step 5: Solve for x
    x = 38,089,741.62/5,973.22
  6. Step 6: Final answer
    x = 6,376.75

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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.