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Finding the Fourth Proportional to 6,406.60, 9,609.90 and 6,298.60

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Solution

The fourth proportional to 6,406.60, 9,609.90 and 6,298.60 is: 9,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.60 : 9,609.90 = 6,298.60 : x
  2. Step 2: Convert to fraction form
    6,406.60/9,609.90 = 6,298.60/x
  3. Step 3: Cross multiply
    6,406.60x = 9,609.90 × 6,298.60
  4. Step 4: Simplify right side
    6,406.60x = 60,528,916.14
  5. Step 5: Solve for x
    x = 60,528,916.14/6,406.60
  6. Step 6: Final answer
    x = 9,447.90

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Similar ratio
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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.