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Finding the Fourth Proportional to 7,313.80, 10,970.70 and 6,824.20

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Solution

The fourth proportional to 7,313.80, 10,970.70 and 6,824.20 is: 10,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.80 : 10,970.70 = 6,824.20 : x
  2. Step 2: Convert to fraction form
    7,313.80/10,970.70 = 6,824.20/x
  3. Step 3: Cross multiply
    7,313.80x = 10,970.70 × 6,824.20
  4. Step 4: Simplify right side
    7,313.80x = 74,866,250.94
  5. Step 5: Solve for x
    x = 74,866,250.94/7,313.80
  6. Step 6: Final answer
    x = 10,236.30

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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.