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Finding the Fourth Proportional to 10,464, 14,447.60 and 7,324.44

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Solution

The fourth proportional to 10,464, 14,447.60 and 7,324.44 is: 10,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464 : 14,447.60 = 7,324.44 : x
  2. Step 2: Convert to fraction form
    10,464/14,447.60 = 7,324.44/x
  3. Step 3: Cross multiply
    10,464x = 14,447.60 × 7,324.44
  4. Step 4: Simplify right side
    10,464x = 105,820,579.34
  5. Step 5: Solve for x
    x = 105,820,579.34/10,464
  6. Step 6: Final answer
    x = 10,112.82

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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.