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Finding the Fourth Proportional to 13,894.68, 19,175.11 and 7,607.06

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Solution

The fourth proportional to 13,894.68, 19,175.11 and 7,607.06 is: 10,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.68 : 19,175.11 = 7,607.06 : x
  2. Step 2: Convert to fraction form
    13,894.68/19,175.11 = 7,607.06/x
  3. Step 3: Cross multiply
    13,894.68x = 19,175.11 × 7,607.06
  4. Step 4: Simplify right side
    13,894.68x = 145,866,097.38
  5. Step 5: Solve for x
    x = 145,866,097.38/13,894.68
  6. Step 6: Final answer
    x = 10,497.98

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1.5x scale

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.