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Finding the Fourth Proportional to 7,857.84, 10,842.12 and 4,499.94

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Solution

The fourth proportional to 7,857.84, 10,842.12 and 4,499.94 is: 6,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.84 : 10,842.12 = 4,499.94 : x
  2. Step 2: Convert to fraction form
    7,857.84/10,842.12 = 4,499.94/x
  3. Step 3: Cross multiply
    7,857.84x = 10,842.12 × 4,499.94
  4. Step 4: Simplify right side
    7,857.84x = 48,788,889.47
  5. Step 5: Solve for x
    x = 48,788,889.47/7,857.84
  6. Step 6: Final answer
    x = 6,208.94

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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.