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Finding the Fourth Proportional to 11,641.68, 17,464.50 and 4,256.46

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Solution

The fourth proportional to 11,641.68, 17,464.50 and 4,256.46 is: 6,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.68 : 17,464.50 = 4,256.46 : x
  2. Step 2: Convert to fraction form
    11,641.68/17,464.50 = 4,256.46/x
  3. Step 3: Cross multiply
    11,641.68x = 17,464.50 × 4,256.46
  4. Step 4: Simplify right side
    11,641.68x = 74,336,945.67
  5. Step 5: Solve for x
    x = 74,336,945.67/11,641.68
  6. Step 6: Final answer
    x = 6,385.41

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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.