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Finding the Fourth Proportional to 6,409.57, 9,615.66 and 2,460.67

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Solution

The fourth proportional to 6,409.57, 9,615.66 and 2,460.67 is: 3,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.57 : 9,615.66 = 2,460.67 : x
  2. Step 2: Convert to fraction form
    6,409.57/9,615.66 = 2,460.67/x
  3. Step 3: Cross multiply
    6,409.57x = 9,615.66 × 2,460.67
  4. Step 4: Simplify right side
    6,409.57x = 23,660,966.09
  5. Step 5: Solve for x
    x = 23,660,966.09/6,409.57
  6. Step 6: Final answer
    x = 3,691.51

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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.