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Finding the Fourth Proportional to 7,312.80, 10,969.20 and 6,823.20

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Solution

The fourth proportional to 7,312.80, 10,969.20 and 6,823.20 is: 10,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.80 : 10,969.20 = 6,823.20 : x
  2. Step 2: Convert to fraction form
    7,312.80/10,969.20 = 6,823.20/x
  3. Step 3: Cross multiply
    7,312.80x = 10,969.20 × 6,823.20
  4. Step 4: Simplify right side
    7,312.80x = 74,845,045.44
  5. Step 5: Solve for x
    x = 74,845,045.44/7,312.80
  6. Step 6: Final answer
    x = 10,234.80

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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.