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Finding the Fourth Proportional to 13,133.66, 19,673.13 and 6,539.84

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Solution

The fourth proportional to 13,133.66, 19,673.13 and 6,539.84 is: 9,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.66 : 19,673.13 = 6,539.84 : x
  2. Step 2: Convert to fraction form
    13,133.66/19,673.13 = 6,539.84/x
  3. Step 3: Cross multiply
    13,133.66x = 19,673.13 × 6,539.84
  4. Step 4: Simplify right side
    13,133.66x = 128,659,122.50
  5. Step 5: Solve for x
    x = 128,659,122.50/13,133.66
  6. Step 6: Final answer
    x = 9,796.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.