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Finding the Fourth Proportional to 7,792.61, 11,670.24 and 5,678.56

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Solution

The fourth proportional to 7,792.61, 11,670.24 and 5,678.56 is: 8,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.61 : 11,670.24 = 5,678.56 : x
  2. Step 2: Convert to fraction form
    7,792.61/11,670.24 = 5,678.56/x
  3. Step 3: Cross multiply
    7,792.61x = 11,670.24 × 5,678.56
  4. Step 4: Simplify right side
    7,792.61x = 66,270,226.76
  5. Step 5: Solve for x
    x = 66,270,226.76/7,792.61
  6. Step 6: Final answer
    x = 8,504.25

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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.