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Finding the Fourth Proportional to 8,647.78, 12,970.22 and 3,100.08

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Solution

The fourth proportional to 8,647.78, 12,970.22 and 3,100.08 is: 4,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.78 : 12,970.22 = 3,100.08 : x
  2. Step 2: Convert to fraction form
    8,647.78/12,970.22 = 3,100.08/x
  3. Step 3: Cross multiply
    8,647.78x = 12,970.22 × 3,100.08
  4. Step 4: Simplify right side
    8,647.78x = 40,208,719.62
  5. Step 5: Solve for x
    x = 40,208,719.62/8,647.78
  6. Step 6: Final answer
    x = 4,649.60

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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.