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Finding the Fourth Proportional to 6,447, 8,898.12 and 3,652.50

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Solution

The fourth proportional to 6,447, 8,898.12 and 3,652.50 is: 5,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447 : 8,898.12 = 3,652.50 : x
  2. Step 2: Convert to fraction form
    6,447/8,898.12 = 3,652.50/x
  3. Step 3: Cross multiply
    6,447x = 8,898.12 × 3,652.50
  4. Step 4: Simplify right side
    6,447x = 32,500,383.30
  5. Step 5: Solve for x
    x = 32,500,383.30/6,447
  6. Step 6: Final answer
    x = 5,041.16

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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.