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Finding the Fourth Proportional to 10,394.94, 15,602.27 and 6,434.22

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Solution

The fourth proportional to 10,394.94, 15,602.27 and 6,434.22 is: 9,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.94 : 15,602.27 = 6,434.22 : x
  2. Step 2: Convert to fraction form
    10,394.94/15,602.27 = 6,434.22/x
  3. Step 3: Cross multiply
    10,394.94x = 15,602.27 × 6,434.22
  4. Step 4: Simplify right side
    10,394.94x = 100,388,453.76
  5. Step 5: Solve for x
    x = 100,388,453.76/10,394.94
  6. Step 6: Final answer
    x = 9,657.43

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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.