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Finding the Fourth Proportional to 11,097, 15,307.38 and 6,906.60

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Solution

The fourth proportional to 11,097, 15,307.38 and 6,906.60 is: 9,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097 : 15,307.38 = 6,906.60 : x
  2. Step 2: Convert to fraction form
    11,097/15,307.38 = 6,906.60/x
  3. Step 3: Cross multiply
    11,097x = 15,307.38 × 6,906.60
  4. Step 4: Simplify right side
    11,097x = 105,721,950.71
  5. Step 5: Solve for x
    x = 105,721,950.71/11,097
  6. Step 6: Final answer
    x = 9,527.07

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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.