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Finding the Fourth Proportional to 6,436.80, 9,662.40 and 4,982.40

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Solution

The fourth proportional to 6,436.80, 9,662.40 and 4,982.40 is: 7,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.80 : 9,662.40 = 4,982.40 : x
  2. Step 2: Convert to fraction form
    6,436.80/9,662.40 = 4,982.40/x
  3. Step 3: Cross multiply
    6,436.80x = 9,662.40 × 4,982.40
  4. Step 4: Simplify right side
    6,436.80x = 48,141,941.76
  5. Step 5: Solve for x
    x = 48,141,941.76/6,436.80
  6. Step 6: Final answer
    x = 7,479.17

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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.