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Finding the Fourth Proportional to 13,909.53, 19,194.53 and 7,621.77

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Solution

The fourth proportional to 13,909.53, 19,194.53 and 7,621.77 is: 10,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.53 : 19,194.53 = 7,621.77 : x
  2. Step 2: Convert to fraction form
    13,909.53/19,194.53 = 7,621.77/x
  3. Step 3: Cross multiply
    13,909.53x = 19,194.53 × 7,621.77
  4. Step 4: Simplify right side
    13,909.53x = 146,296,254.81
  5. Step 5: Solve for x
    x = 146,296,254.81/13,909.53
  6. Step 6: Final answer
    x = 10,517.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.