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Finding the Fourth Proportional to 9,280.98, 13,892.04 and 6,927.12

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Solution

The fourth proportional to 9,280.98, 13,892.04 and 6,927.12 is: 10,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.98 : 13,892.04 = 6,927.12 : x
  2. Step 2: Convert to fraction form
    9,280.98/13,892.04 = 6,927.12/x
  3. Step 3: Cross multiply
    9,280.98x = 13,892.04 × 6,927.12
  4. Step 4: Simplify right side
    9,280.98x = 96,231,828.12
  5. Step 5: Solve for x
    x = 96,231,828.12/9,280.98
  6. Step 6: Final answer
    x = 10,368.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.