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Finding the Fourth Proportional to 13,970.68, 20,941.44 and 5,647.32

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Solution

The fourth proportional to 13,970.68, 20,941.44 and 5,647.32 is: 8,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.68 : 20,941.44 = 5,647.32 : x
  2. Step 2: Convert to fraction form
    13,970.68/20,941.44 = 5,647.32/x
  3. Step 3: Cross multiply
    13,970.68x = 20,941.44 × 5,647.32
  4. Step 4: Simplify right side
    13,970.68x = 118,262,991.76
  5. Step 5: Solve for x
    x = 118,262,991.76/13,970.68
  6. Step 6: Final answer
    x = 8,465.09

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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.