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Finding the Fourth Proportional to 6,374.70, 9,562.05 and 4,406.40

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Solution

The fourth proportional to 6,374.70, 9,562.05 and 4,406.40 is: 6,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.70 : 9,562.05 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    6,374.70/9,562.05 = 4,406.40/x
  3. Step 3: Cross multiply
    6,374.70x = 9,562.05 × 4,406.40
  4. Step 4: Simplify right side
    6,374.70x = 42,134,217.12
  5. Step 5: Solve for x
    x = 42,134,217.12/6,374.70
  6. Step 6: Final answer
    x = 6,609.60

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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.