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Finding the Fourth Proportional to 10,254.96, 15,342.48 and 7,796.88

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Solution

The fourth proportional to 10,254.96, 15,342.48 and 7,796.88 is: 11,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.96 : 15,342.48 = 7,796.88 : x
  2. Step 2: Convert to fraction form
    10,254.96/15,342.48 = 7,796.88/x
  3. Step 3: Cross multiply
    10,254.96x = 15,342.48 × 7,796.88
  4. Step 4: Simplify right side
    10,254.96x = 119,623,475.46
  5. Step 5: Solve for x
    x = 119,623,475.46/10,254.96
  6. Step 6: Final answer
    x = 11,664.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.