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Finding the Fourth Proportional to 7,205.80, 10,824.90 and 6,930.40

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Solution

The fourth proportional to 7,205.80, 10,824.90 and 6,930.40 is: 10,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.80 : 10,824.90 = 6,930.40 : x
  2. Step 2: Convert to fraction form
    7,205.80/10,824.90 = 6,930.40/x
  3. Step 3: Cross multiply
    7,205.80x = 10,824.90 × 6,930.40
  4. Step 4: Simplify right side
    7,205.80x = 75,020,886.96
  5. Step 5: Solve for x
    x = 75,020,886.96/7,205.80
  6. Step 6: Final answer
    x = 10,411.18

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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.