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Finding the Fourth Proportional to 9,762, 14,643 and 2,366.43

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Solution

The fourth proportional to 9,762, 14,643 and 2,366.43 is: 3,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762 : 14,643 = 2,366.43 : x
  2. Step 2: Convert to fraction form
    9,762/14,643 = 2,366.43/x
  3. Step 3: Cross multiply
    9,762x = 14,643 × 2,366.43
  4. Step 4: Simplify right side
    9,762x = 34,651,634.49
  5. Step 5: Solve for x
    x = 34,651,634.49/9,762
  6. Step 6: Final answer
    x = 3,549.65

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Double scale
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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.