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Finding the Fourth Proportional to 6,316.76, 9,483.24 and 3,977.48

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Solution

The fourth proportional to 6,316.76, 9,483.24 and 3,977.48 is: 5,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.76 : 9,483.24 = 3,977.48 : x
  2. Step 2: Convert to fraction form
    6,316.76/9,483.24 = 3,977.48/x
  3. Step 3: Cross multiply
    6,316.76x = 9,483.24 × 3,977.48
  4. Step 4: Simplify right side
    6,316.76x = 37,719,397.44
  5. Step 5: Solve for x
    x = 37,719,397.44/6,316.76
  6. Step 6: Final answer
    x = 5,971.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.