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Finding the Fourth Proportional to 14,009.70, 20,982.15 and 9,603.30

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Solution

The fourth proportional to 14,009.70, 20,982.15 and 9,603.30 is: 14,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.70 : 20,982.15 = 9,603.30 : x
  2. Step 2: Convert to fraction form
    14,009.70/20,982.15 = 9,603.30/x
  3. Step 3: Cross multiply
    14,009.70x = 20,982.15 × 9,603.30
  4. Step 4: Simplify right side
    14,009.70x = 201,497,881.10
  5. Step 5: Solve for x
    x = 201,497,881.10/14,009.70
  6. Step 6: Final answer
    x = 14,382.74

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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.