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Finding the Fourth Proportional to 13,777.57, 19,012.96 and 7,489.95

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Solution

The fourth proportional to 13,777.57, 19,012.96 and 7,489.95 is: 10,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.57 : 19,012.96 = 7,489.95 : x
  2. Step 2: Convert to fraction form
    13,777.57/19,012.96 = 7,489.95/x
  3. Step 3: Cross multiply
    13,777.57x = 19,012.96 × 7,489.95
  4. Step 4: Simplify right side
    13,777.57x = 142,406,119.75
  5. Step 5: Solve for x
    x = 142,406,119.75/13,777.57
  6. Step 6: Final answer
    x = 10,336.08

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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.