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Finding the Fourth Proportional to 8,467.40, 11,684.64 and 4,930.40

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Solution

The fourth proportional to 8,467.40, 11,684.64 and 4,930.40 is: 6,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.40 : 11,684.64 = 4,930.40 : x
  2. Step 2: Convert to fraction form
    8,467.40/11,684.64 = 4,930.40/x
  3. Step 3: Cross multiply
    8,467.40x = 11,684.64 × 4,930.40
  4. Step 4: Simplify right side
    8,467.40x = 57,609,949.06
  5. Step 5: Solve for x
    x = 57,609,949.06/8,467.40
  6. Step 6: Final answer
    x = 6,803.74

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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.