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Finding the Fourth Proportional to 13,894.63, 19,174.58 and 7,607

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Solution

The fourth proportional to 13,894.63, 19,174.58 and 7,607 is: 10,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.63 : 19,174.58 = 7,607 : x
  2. Step 2: Convert to fraction form
    13,894.63/19,174.58 = 7,607/x
  3. Step 3: Cross multiply
    13,894.63x = 19,174.58 × 7,607
  4. Step 4: Simplify right side
    13,894.63x = 145,861,030.06
  5. Step 5: Solve for x
    x = 145,861,030.06/13,894.63
  6. Step 6: Final answer
    x = 10,497.65

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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.