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Finding the Fourth Proportional to 7,892.46, 10,892.61 and 6,563.88

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Solution

The fourth proportional to 7,892.46, 10,892.61 and 6,563.88 is: 9,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.46 : 10,892.61 = 6,563.88 : x
  2. Step 2: Convert to fraction form
    7,892.46/10,892.61 = 6,563.88/x
  3. Step 3: Cross multiply
    7,892.46x = 10,892.61 × 6,563.88
  4. Step 4: Simplify right side
    7,892.46x = 71,497,784.93
  5. Step 5: Solve for x
    x = 71,497,784.93/7,892.46
  6. Step 6: Final answer
    x = 9,059.00

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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.