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Finding the Fourth Proportional to 6,465.92, 9,704.64 and 3,005.12

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Solution

The fourth proportional to 6,465.92, 9,704.64 and 3,005.12 is: 4,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.92 : 9,704.64 = 3,005.12 : x
  2. Step 2: Convert to fraction form
    6,465.92/9,704.64 = 3,005.12/x
  3. Step 3: Cross multiply
    6,465.92x = 9,704.64 × 3,005.12
  4. Step 4: Simplify right side
    6,465.92x = 29,163,607.76
  5. Step 5: Solve for x
    x = 29,163,607.76/6,465.92
  6. Step 6: Final answer
    x = 4,510.36

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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.