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Finding the Fourth Proportional to 7,859.31, 10,846.48 and 4,503.23

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Solution

The fourth proportional to 7,859.31, 10,846.48 and 4,503.23 is: 6,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.31 : 10,846.48 = 4,503.23 : x
  2. Step 2: Convert to fraction form
    7,859.31/10,846.48 = 4,503.23/x
  3. Step 3: Cross multiply
    7,859.31x = 10,846.48 × 4,503.23
  4. Step 4: Simplify right side
    7,859.31x = 48,844,194.13
  5. Step 5: Solve for x
    x = 48,844,194.13/7,859.31
  6. Step 6: Final answer
    x = 6,214.82

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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.