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Finding the Fourth Proportional to 19,495, 29,245.54 and 6,344.27

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Solution

The fourth proportional to 19,495, 29,245.54 and 6,344.27 is: 9,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,495 : 29,245.54 = 6,344.27 : x
  2. Step 2: Convert to fraction form
    19,495/29,245.54 = 6,344.27/x
  3. Step 3: Cross multiply
    19,495x = 29,245.54 × 6,344.27
  4. Step 4: Simplify right side
    19,495x = 185,541,602.06
  5. Step 5: Solve for x
    x = 185,541,602.06/19,495
  6. Step 6: Final answer
    x = 9,517.39

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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.