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Finding the Fourth Proportional to 9,754.31, 14,633.64 and 3,831.77

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Solution

The fourth proportional to 9,754.31, 14,633.64 and 3,831.77 is: 5,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.31 : 14,633.64 = 3,831.77 : x
  2. Step 2: Convert to fraction form
    9,754.31/14,633.64 = 3,831.77/x
  3. Step 3: Cross multiply
    9,754.31x = 14,633.64 × 3,831.77
  4. Step 4: Simplify right side
    9,754.31x = 56,072,779.33
  5. Step 5: Solve for x
    x = 56,072,779.33/9,754.31
  6. Step 6: Final answer
    x = 5,748.51

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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.