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Finding the Fourth Proportional to 9,492.14, 13,100.27 and 7,895.97

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Solution

The fourth proportional to 9,492.14, 13,100.27 and 7,895.97 is: 10,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.14 : 13,100.27 = 7,895.97 : x
  2. Step 2: Convert to fraction form
    9,492.14/13,100.27 = 7,895.97/x
  3. Step 3: Cross multiply
    9,492.14x = 13,100.27 × 7,895.97
  4. Step 4: Simplify right side
    9,492.14x = 103,439,299.43
  5. Step 5: Solve for x
    x = 103,439,299.43/9,492.14
  6. Step 6: Final answer
    x = 10,897.36

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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.