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Finding the Fourth Proportional to 7,792.83, 11,689.65 and 3,895.92

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Solution

The fourth proportional to 7,792.83, 11,689.65 and 3,895.92 is: 5,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.83 : 11,689.65 = 3,895.92 : x
  2. Step 2: Convert to fraction form
    7,792.83/11,689.65 = 3,895.92/x
  3. Step 3: Cross multiply
    7,792.83x = 11,689.65 × 3,895.92
  4. Step 4: Simplify right side
    7,792.83x = 45,541,941.23
  5. Step 5: Solve for x
    x = 45,541,941.23/7,792.83
  6. Step 6: Final answer
    x = 5,844.08

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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.