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Finding the Fourth Proportional to 14,278.80, 19,709.22 and 9,808.80

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Solution

The fourth proportional to 14,278.80, 19,709.22 and 9,808.80 is: 13,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.80 : 19,709.22 = 9,808.80 : x
  2. Step 2: Convert to fraction form
    14,278.80/19,709.22 = 9,808.80/x
  3. Step 3: Cross multiply
    14,278.80x = 19,709.22 × 9,808.80
  4. Step 4: Simplify right side
    14,278.80x = 193,323,797.14
  5. Step 5: Solve for x
    x = 193,323,797.14/14,278.80
  6. Step 6: Final answer
    x = 13,539.22

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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.