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Finding the Fourth Proportional to 7,693.94, 10,612.36 and 4,711.25

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Solution

The fourth proportional to 7,693.94, 10,612.36 and 4,711.25 is: 6,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.94 : 10,612.36 = 4,711.25 : x
  2. Step 2: Convert to fraction form
    7,693.94/10,612.36 = 4,711.25/x
  3. Step 3: Cross multiply
    7,693.94x = 10,612.36 × 4,711.25
  4. Step 4: Simplify right side
    7,693.94x = 49,997,481.05
  5. Step 5: Solve for x
    x = 49,997,481.05/7,693.94
  6. Step 6: Final answer
    x = 6,498.29

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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.