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Finding the Fourth Proportional to 12,842.84, 17,723.47 and 7,253.84

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Solution

The fourth proportional to 12,842.84, 17,723.47 and 7,253.84 is: 10,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.84 : 17,723.47 = 7,253.84 : x
  2. Step 2: Convert to fraction form
    12,842.84/17,723.47 = 7,253.84/x
  3. Step 3: Cross multiply
    12,842.84x = 17,723.47 × 7,253.84
  4. Step 4: Simplify right side
    12,842.84x = 128,563,215.62
  5. Step 5: Solve for x
    x = 128,563,215.62/12,842.84
  6. Step 6: Final answer
    x = 10,010.50

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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.