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Finding the Fourth Proportional to 11,750.00, 16,214.63 and 6,444.72

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Solution

The fourth proportional to 11,750.00, 16,214.63 and 6,444.72 is: 8,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.00 : 16,214.63 = 6,444.72 : x
  2. Step 2: Convert to fraction form
    11,750.00/16,214.63 = 6,444.72/x
  3. Step 3: Cross multiply
    11,750.00x = 16,214.63 × 6,444.72
  4. Step 4: Simplify right side
    11,750.00x = 104,498,718.03
  5. Step 5: Solve for x
    x = 104,498,718.03/11,750.00
  6. Step 6: Final answer
    x = 8,893.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.