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Finding the Fourth Proportional to 30,626.83, 45,911.08 and 9,835.75

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Solution

The fourth proportional to 30,626.83, 45,911.08 and 9,835.75 is: 14,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626.83 : 45,911.08 = 9,835.75 : x
  2. Step 2: Convert to fraction form
    30,626.83/45,911.08 = 9,835.75/x
  3. Step 3: Cross multiply
    30,626.83x = 45,911.08 × 9,835.75
  4. Step 4: Simplify right side
    30,626.83x = 451,569,905.11
  5. Step 5: Solve for x
    x = 451,569,905.11/30,626.83
  6. Step 6: Final answer
    x = 14,744.26

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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.