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Finding the Fourth Proportional to 6,307.02, 9,444 and 4,448.07

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Solution

The fourth proportional to 6,307.02, 9,444 and 4,448.07 is: 6,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.02 : 9,444 = 4,448.07 : x
  2. Step 2: Convert to fraction form
    6,307.02/9,444 = 4,448.07/x
  3. Step 3: Cross multiply
    6,307.02x = 9,444 × 4,448.07
  4. Step 4: Simplify right side
    6,307.02x = 42,007,573.08
  5. Step 5: Solve for x
    x = 42,007,573.08/6,307.02
  6. Step 6: Final answer
    x = 6,660.45

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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.