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Finding the Fourth Proportional to 6,277.54, 8,663 and 3,483.04

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Solution

The fourth proportional to 6,277.54, 8,663 and 3,483.04 is: 4,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.54 : 8,663 = 3,483.04 : x
  2. Step 2: Convert to fraction form
    6,277.54/8,663 = 3,483.04/x
  3. Step 3: Cross multiply
    6,277.54x = 8,663 × 3,483.04
  4. Step 4: Simplify right side
    6,277.54x = 30,173,575.52
  5. Step 5: Solve for x
    x = 30,173,575.52/6,277.54
  6. Step 6: Final answer
    x = 4,806.59

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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.