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Finding the Fourth Proportional to 6,491.44, 9,734.28 and 4,026.16

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Solution

The fourth proportional to 6,491.44, 9,734.28 and 4,026.16 is: 6,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.44 : 9,734.28 = 4,026.16 : x
  2. Step 2: Convert to fraction form
    6,491.44/9,734.28 = 4,026.16/x
  3. Step 3: Cross multiply
    6,491.44x = 9,734.28 × 4,026.16
  4. Step 4: Simplify right side
    6,491.44x = 39,191,768.76
  5. Step 5: Solve for x
    x = 39,191,768.76/6,491.44
  6. Step 6: Final answer
    x = 6,037.45

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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.