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Finding the Fourth Proportional to 13,649.19, 18,835.44 and 7,681.19

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Solution

The fourth proportional to 13,649.19, 18,835.44 and 7,681.19 is: 10,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.19 : 18,835.44 = 7,681.19 : x
  2. Step 2: Convert to fraction form
    13,649.19/18,835.44 = 7,681.19/x
  3. Step 3: Cross multiply
    13,649.19x = 18,835.44 × 7,681.19
  4. Step 4: Simplify right side
    13,649.19x = 144,678,499.20
  5. Step 5: Solve for x
    x = 144,678,499.20/13,649.19
  6. Step 6: Final answer
    x = 10,599.79

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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.