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Finding the Fourth Proportional to 6,597.02, 9,099.51 and 4,242.14

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Solution

The fourth proportional to 6,597.02, 9,099.51 and 4,242.14 is: 5,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.02 : 9,099.51 = 4,242.14 : x
  2. Step 2: Convert to fraction form
    6,597.02/9,099.51 = 4,242.14/x
  3. Step 3: Cross multiply
    6,597.02x = 9,099.51 × 4,242.14
  4. Step 4: Simplify right side
    6,597.02x = 38,601,395.35
  5. Step 5: Solve for x
    x = 38,601,395.35/6,597.02
  6. Step 6: Final answer
    x = 5,851.34

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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.