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Finding the Fourth Proportional to 9,513.74, 14,250.29 and 7,726.74

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Solution

The fourth proportional to 9,513.74, 14,250.29 and 7,726.74 is: 11,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.74 : 14,250.29 = 7,726.74 : x
  2. Step 2: Convert to fraction form
    9,513.74/14,250.29 = 7,726.74/x
  3. Step 3: Cross multiply
    9,513.74x = 14,250.29 × 7,726.74
  4. Step 4: Simplify right side
    9,513.74x = 110,108,247.12
  5. Step 5: Solve for x
    x = 110,108,247.12/9,513.74
  6. Step 6: Final answer
    x = 11,573.61

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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.