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Finding the Fourth Proportional to 9,748.26, 14,605.92 and 7,681.68

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Solution

The fourth proportional to 9,748.26, 14,605.92 and 7,681.68 is: 11,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.26 : 14,605.92 = 7,681.68 : x
  2. Step 2: Convert to fraction form
    9,748.26/14,605.92 = 7,681.68/x
  3. Step 3: Cross multiply
    9,748.26x = 14,605.92 × 7,681.68
  4. Step 4: Simplify right side
    9,748.26x = 112,198,003.55
  5. Step 5: Solve for x
    x = 112,198,003.55/9,748.26
  6. Step 6: Final answer
    x = 11,509.54

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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.