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Finding the Fourth Proportional to 9,684.65, 14,526.77 and 2,664.63

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Solution

The fourth proportional to 9,684.65, 14,526.77 and 2,664.63 is: 3,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.65 : 14,526.77 = 2,664.63 : x
  2. Step 2: Convert to fraction form
    9,684.65/14,526.77 = 2,664.63/x
  3. Step 3: Cross multiply
    9,684.65x = 14,526.77 × 2,664.63
  4. Step 4: Simplify right side
    9,684.65x = 38,708,453.82
  5. Step 5: Solve for x
    x = 38,708,453.82/9,684.65
  6. Step 6: Final answer
    x = 3,996.89

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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.