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Finding the Fourth Proportional to 6,292.72, 8,684 and 3,460.40

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Solution

The fourth proportional to 6,292.72, 8,684 and 3,460.40 is: 4,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.72 : 8,684 = 3,460.40 : x
  2. Step 2: Convert to fraction form
    6,292.72/8,684 = 3,460.40/x
  3. Step 3: Cross multiply
    6,292.72x = 8,684 × 3,460.40
  4. Step 4: Simplify right side
    6,292.72x = 30,050,113.60
  5. Step 5: Solve for x
    x = 30,050,113.60/6,292.72
  6. Step 6: Final answer
    x = 4,775.38

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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.