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Finding the Fourth Proportional to 9,805.77, 14,710.23 and 3,230.46

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Solution

The fourth proportional to 9,805.77, 14,710.23 and 3,230.46 is: 4,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.77 : 14,710.23 = 3,230.46 : x
  2. Step 2: Convert to fraction form
    9,805.77/14,710.23 = 3,230.46/x
  3. Step 3: Cross multiply
    9,805.77x = 14,710.23 × 3,230.46
  4. Step 4: Simplify right side
    9,805.77x = 47,520,809.61
  5. Step 5: Solve for x
    x = 47,520,809.61/9,805.77
  6. Step 6: Final answer
    x = 4,846.21

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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.