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Finding the Fourth Proportional to 8,366.63, 11,546.01 and 4,830.44

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Solution

The fourth proportional to 8,366.63, 11,546.01 and 4,830.44 is: 6,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.63 : 11,546.01 = 4,830.44 : x
  2. Step 2: Convert to fraction form
    8,366.63/11,546.01 = 4,830.44/x
  3. Step 3: Cross multiply
    8,366.63x = 11,546.01 × 4,830.44
  4. Step 4: Simplify right side
    8,366.63x = 55,772,250.81
  5. Step 5: Solve for x
    x = 55,772,250.81/8,366.63
  6. Step 6: Final answer
    x = 6,666.04

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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.