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Finding the Fourth Proportional to 6,302.08, 9,454.08 and 2,406.40

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Solution

The fourth proportional to 6,302.08, 9,454.08 and 2,406.40 is: 3,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.08 : 9,454.08 = 2,406.40 : x
  2. Step 2: Convert to fraction form
    6,302.08/9,454.08 = 2,406.40/x
  3. Step 3: Cross multiply
    6,302.08x = 9,454.08 × 2,406.40
  4. Step 4: Simplify right side
    6,302.08x = 22,750,298.11
  5. Step 5: Solve for x
    x = 22,750,298.11/6,302.08
  6. Step 6: Final answer
    x = 3,609.97

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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.