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Finding the Fourth Proportional to 14,357.96, 19,813.79 and 7,984.49

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Solution

The fourth proportional to 14,357.96, 19,813.79 and 7,984.49 is: 11,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.96 : 19,813.79 = 7,984.49 : x
  2. Step 2: Convert to fraction form
    14,357.96/19,813.79 = 7,984.49/x
  3. Step 3: Cross multiply
    14,357.96x = 19,813.79 × 7,984.49
  4. Step 4: Simplify right side
    14,357.96x = 158,203,077.61
  5. Step 5: Solve for x
    x = 158,203,077.61/14,357.96
  6. Step 6: Final answer
    x = 11,018.50

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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.