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Finding the Fourth Proportional to 10,598.14, 15,894.57 and 3,202.03

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Solution

The fourth proportional to 10,598.14, 15,894.57 and 3,202.03 is: 4,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.14 : 15,894.57 = 3,202.03 : x
  2. Step 2: Convert to fraction form
    10,598.14/15,894.57 = 3,202.03/x
  3. Step 3: Cross multiply
    10,598.14x = 15,894.57 × 3,202.03
  4. Step 4: Simplify right side
    10,598.14x = 50,894,810.50
  5. Step 5: Solve for x
    x = 50,894,810.50/10,598.14
  6. Step 6: Final answer
    x = 4,802.24

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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.