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Finding the Fourth Proportional to 13,950.63, 19,248.84 and 7,984.17

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Solution

The fourth proportional to 13,950.63, 19,248.84 and 7,984.17 is: 11,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.63 : 19,248.84 = 7,984.17 : x
  2. Step 2: Convert to fraction form
    13,950.63/19,248.84 = 7,984.17/x
  3. Step 3: Cross multiply
    13,950.63x = 19,248.84 × 7,984.17
  4. Step 4: Simplify right side
    13,950.63x = 153,686,010.86
  5. Step 5: Solve for x
    x = 153,686,010.86/13,950.63
  6. Step 6: Final answer
    x = 11,016.42

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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.