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Finding the Fourth Proportional to 7,832.61, 10,809.15 and 4,296

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Solution

The fourth proportional to 7,832.61, 10,809.15 and 4,296 is: 5,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.61 : 10,809.15 = 4,296 : x
  2. Step 2: Convert to fraction form
    7,832.61/10,809.15 = 4,296/x
  3. Step 3: Cross multiply
    7,832.61x = 10,809.15 × 4,296
  4. Step 4: Simplify right side
    7,832.61x = 46,436,108.40
  5. Step 5: Solve for x
    x = 46,436,108.40/7,832.61
  6. Step 6: Final answer
    x = 5,928.56

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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.