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Finding the Fourth Proportional to 13,777.14, 19,011.65 and 7,489.46

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Solution

The fourth proportional to 13,777.14, 19,011.65 and 7,489.46 is: 10,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.14 : 19,011.65 = 7,489.46 : x
  2. Step 2: Convert to fraction form
    13,777.14/19,011.65 = 7,489.46/x
  3. Step 3: Cross multiply
    13,777.14x = 19,011.65 × 7,489.46
  4. Step 4: Simplify right side
    13,777.14x = 142,386,992.21
  5. Step 5: Solve for x
    x = 142,386,992.21/13,777.14
  6. Step 6: Final answer
    x = 10,335.02

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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.