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Finding the Fourth Proportional to 6,406.59, 9,609.54 and 2,459.74

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Solution

The fourth proportional to 6,406.59, 9,609.54 and 2,459.74 is: 3,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.59 : 9,609.54 = 2,459.74 : x
  2. Step 2: Convert to fraction form
    6,406.59/9,609.54 = 2,459.74/x
  3. Step 3: Cross multiply
    6,406.59x = 9,609.54 × 2,459.74
  4. Step 4: Simplify right side
    6,406.59x = 23,636,969.92
  5. Step 5: Solve for x
    x = 23,636,969.92/6,406.59
  6. Step 6: Final answer
    x = 3,689.48

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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.