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Finding the Fourth Proportional to 10,197.94, 15,297.07 and 2,802.35

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Solution

The fourth proportional to 10,197.94, 15,297.07 and 2,802.35 is: 4,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.94 : 15,297.07 = 2,802.35 : x
  2. Step 2: Convert to fraction form
    10,197.94/15,297.07 = 2,802.35/x
  3. Step 3: Cross multiply
    10,197.94x = 15,297.07 × 2,802.35
  4. Step 4: Simplify right side
    10,197.94x = 42,867,728.50
  5. Step 5: Solve for x
    x = 42,867,728.50/10,197.94
  6. Step 6: Final answer
    x = 4,203.57

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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.