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Finding the Fourth Proportional to 13,855.88, 19,121 and 7,568.26

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Solution

The fourth proportional to 13,855.88, 19,121 and 7,568.26 is: 10,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.88 : 19,121 = 7,568.26 : x
  2. Step 2: Convert to fraction form
    13,855.88/19,121 = 7,568.26/x
  3. Step 3: Cross multiply
    13,855.88x = 19,121 × 7,568.26
  4. Step 4: Simplify right side
    13,855.88x = 144,712,699.46
  5. Step 5: Solve for x
    x = 144,712,699.46/13,855.88
  6. Step 6: Final answer
    x = 10,444.14

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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.