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Finding the Fourth Proportional to 12,842.68, 19,261.24 and 7,502.28

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Solution

The fourth proportional to 12,842.68, 19,261.24 and 7,502.28 is: 11,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.68 : 19,261.24 = 7,502.28 : x
  2. Step 2: Convert to fraction form
    12,842.68/19,261.24 = 7,502.28/x
  3. Step 3: Cross multiply
    12,842.68x = 19,261.24 × 7,502.28
  4. Step 4: Simplify right side
    12,842.68x = 144,503,215.63
  5. Step 5: Solve for x
    x = 144,503,215.63/12,842.68
  6. Step 6: Final answer
    x = 11,251.80

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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.