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Finding the Fourth Proportional to 9,762.69, 14,643.90 and 2,367.22

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Solution

The fourth proportional to 9,762.69, 14,643.90 and 2,367.22 is: 3,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.69 : 14,643.90 = 2,367.22 : x
  2. Step 2: Convert to fraction form
    9,762.69/14,643.90 = 2,367.22/x
  3. Step 3: Cross multiply
    9,762.69x = 14,643.90 × 2,367.22
  4. Step 4: Simplify right side
    9,762.69x = 34,665,332.96
  5. Step 5: Solve for x
    x = 34,665,332.96/9,762.69
  6. Step 6: Final answer
    x = 3,550.80

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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.