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Finding the Fourth Proportional to 12,405, 17,118.90 and 6,816.04

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Solution

The fourth proportional to 12,405, 17,118.90 and 6,816.04 is: 9,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405 : 17,118.90 = 6,816.04 : x
  2. Step 2: Convert to fraction form
    12,405/17,118.90 = 6,816.04/x
  3. Step 3: Cross multiply
    12,405x = 17,118.90 × 6,816.04
  4. Step 4: Simplify right side
    12,405x = 116,683,107.16
  5. Step 5: Solve for x
    x = 116,683,107.16/12,405
  6. Step 6: Final answer
    x = 9,406.14

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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.