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Finding the Fourth Proportional to 6,147.34, 8,483.18 and 3,494.40

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Solution

The fourth proportional to 6,147.34, 8,483.18 and 3,494.40 is: 4,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.34 : 8,483.18 = 3,494.40 : x
  2. Step 2: Convert to fraction form
    6,147.34/8,483.18 = 3,494.40/x
  3. Step 3: Cross multiply
    6,147.34x = 8,483.18 × 3,494.40
  4. Step 4: Simplify right side
    6,147.34x = 29,643,624.19
  5. Step 5: Solve for x
    x = 29,643,624.19/6,147.34
  6. Step 6: Final answer
    x = 4,822.19

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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.