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Finding the Fourth Proportional to 6,292.68, 8,684.00 and 3,460.17

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Solution

The fourth proportional to 6,292.68, 8,684.00 and 3,460.17 is: 4,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.68 : 8,684.00 = 3,460.17 : x
  2. Step 2: Convert to fraction form
    6,292.68/8,684.00 = 3,460.17/x
  3. Step 3: Cross multiply
    6,292.68x = 8,684.00 × 3,460.17
  4. Step 4: Simplify right side
    6,292.68x = 30,048,131.54
  5. Step 5: Solve for x
    x = 30,048,131.54/6,292.68
  6. Step 6: Final answer
    x = 4,775.10

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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.