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Finding the Fourth Proportional to 9,983.04, 14,969.16 and 5,609.04

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Solution

The fourth proportional to 9,983.04, 14,969.16 and 5,609.04 is: 8,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.04 : 14,969.16 = 5,609.04 : x
  2. Step 2: Convert to fraction form
    9,983.04/14,969.16 = 5,609.04/x
  3. Step 3: Cross multiply
    9,983.04x = 14,969.16 × 5,609.04
  4. Step 4: Simplify right side
    9,983.04x = 83,962,617.21
  5. Step 5: Solve for x
    x = 83,962,617.21/9,983.04
  6. Step 6: Final answer
    x = 8,410.53

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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.