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Finding the Fourth Proportional to 7,857.66, 10,842.90 and 4,713.24

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Solution

The fourth proportional to 7,857.66, 10,842.90 and 4,713.24 is: 6,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.66 : 10,842.90 = 4,713.24 : x
  2. Step 2: Convert to fraction form
    7,857.66/10,842.90 = 4,713.24/x
  3. Step 3: Cross multiply
    7,857.66x = 10,842.90 × 4,713.24
  4. Step 4: Simplify right side
    7,857.66x = 51,105,190.00
  5. Step 5: Solve for x
    x = 51,105,190.00/7,857.66
  6. Step 6: Final answer
    x = 6,503.87

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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.