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Finding the Fourth Proportional to 6,145.56, 8,478.54 and 3,491.64

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Solution

The fourth proportional to 6,145.56, 8,478.54 and 3,491.64 is: 4,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.56 : 8,478.54 = 3,491.64 : x
  2. Step 2: Convert to fraction form
    6,145.56/8,478.54 = 3,491.64/x
  3. Step 3: Cross multiply
    6,145.56x = 8,478.54 × 3,491.64
  4. Step 4: Simplify right side
    6,145.56x = 29,604,009.41
  5. Step 5: Solve for x
    x = 29,604,009.41/6,145.56
  6. Step 6: Final answer
    x = 4,817.14

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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.