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Finding the Fourth Proportional to 7,853.84, 10,842.78 and 5,204.82

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Solution

The fourth proportional to 7,853.84, 10,842.78 and 5,204.82 is: 7,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.84 : 10,842.78 = 5,204.82 : x
  2. Step 2: Convert to fraction form
    7,853.84/10,842.78 = 5,204.82/x
  3. Step 3: Cross multiply
    7,853.84x = 10,842.78 × 5,204.82
  4. Step 4: Simplify right side
    7,853.84x = 56,434,718.20
  5. Step 5: Solve for x
    x = 56,434,718.20/7,853.84
  6. Step 6: Final answer
    x = 7,185.62

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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.