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Finding the Fourth Proportional to 13,842.50, 19,102.86 and 7,554.90

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Solution

The fourth proportional to 13,842.50, 19,102.86 and 7,554.90 is: 10,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.50 : 19,102.86 = 7,554.90 : x
  2. Step 2: Convert to fraction form
    13,842.50/19,102.86 = 7,554.90/x
  3. Step 3: Cross multiply
    13,842.50x = 19,102.86 × 7,554.90
  4. Step 4: Simplify right side
    13,842.50x = 144,320,197.01
  5. Step 5: Solve for x
    x = 144,320,197.01/13,842.50
  6. Step 6: Final answer
    x = 10,425.88

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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.