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Finding the Fourth Proportional to 8,464.80, 12,745.52 and 7,946.40

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Solution

The fourth proportional to 8,464.80, 12,745.52 and 7,946.40 is: 11,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.80 : 12,745.52 = 7,946.40 : x
  2. Step 2: Convert to fraction form
    8,464.80/12,745.52 = 7,946.40/x
  3. Step 3: Cross multiply
    8,464.80x = 12,745.52 × 7,946.40
  4. Step 4: Simplify right side
    8,464.80x = 101,281,000.13
  5. Step 5: Solve for x
    x = 101,281,000.13/8,464.80
  6. Step 6: Final answer
    x = 11,964.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.