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Finding the Fourth Proportional to 22,457.70, 33,698.70 and 9,311.40

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Solution

The fourth proportional to 22,457.70, 33,698.70 and 9,311.40 is: 13,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.70 : 33,698.70 = 9,311.40 : x
  2. Step 2: Convert to fraction form
    22,457.70/33,698.70 = 9,311.40/x
  3. Step 3: Cross multiply
    22,457.70x = 33,698.70 × 9,311.40
  4. Step 4: Simplify right side
    22,457.70x = 313,782,075.18
  5. Step 5: Solve for x
    x = 313,782,075.18/22,457.70
  6. Step 6: Final answer
    x = 13,972.14

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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.