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Finding the Fourth Proportional to 12,284.13, 18,426.03 and 7,355.13

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Solution

The fourth proportional to 12,284.13, 18,426.03 and 7,355.13 is: 11,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.13 : 18,426.03 = 7,355.13 : x
  2. Step 2: Convert to fraction form
    12,284.13/18,426.03 = 7,355.13/x
  3. Step 3: Cross multiply
    12,284.13x = 18,426.03 × 7,355.13
  4. Step 4: Simplify right side
    12,284.13x = 135,525,846.03
  5. Step 5: Solve for x
    x = 135,525,846.03/12,284.13
  6. Step 6: Final answer
    x = 11,032.60

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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.