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Finding the Fourth Proportional to 13,774.03, 19,008.22 and 7,486.41

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Solution

The fourth proportional to 13,774.03, 19,008.22 and 7,486.41 is: 10,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.03 : 19,008.22 = 7,486.41 : x
  2. Step 2: Convert to fraction form
    13,774.03/19,008.22 = 7,486.41/x
  3. Step 3: Cross multiply
    13,774.03x = 19,008.22 × 7,486.41
  4. Step 4: Simplify right side
    13,774.03x = 142,303,328.29
  5. Step 5: Solve for x
    x = 142,303,328.29/13,774.03
  6. Step 6: Final answer
    x = 10,331.28

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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.