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Finding the Fourth Proportional to 13,775.66, 19,008.77 and 8,109.13

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Solution

The fourth proportional to 13,775.66, 19,008.77 and 8,109.13 is: 11,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.66 : 19,008.77 = 8,109.13 : x
  2. Step 2: Convert to fraction form
    13,775.66/19,008.77 = 8,109.13/x
  3. Step 3: Cross multiply
    13,775.66x = 19,008.77 × 8,109.13
  4. Step 4: Simplify right side
    13,775.66x = 154,144,587.07
  5. Step 5: Solve for x
    x = 154,144,587.07/13,775.66
  6. Step 6: Final answer
    x = 11,189.63

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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.