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Finding the Fourth Proportional to 7,219.80, 9,964 and 4,532.94

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Solution

The fourth proportional to 7,219.80, 9,964 and 4,532.94 is: 6,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.80 : 9,964 = 4,532.94 : x
  2. Step 2: Convert to fraction form
    7,219.80/9,964 = 4,532.94/x
  3. Step 3: Cross multiply
    7,219.80x = 9,964 × 4,532.94
  4. Step 4: Simplify right side
    7,219.80x = 45,166,214.16
  5. Step 5: Solve for x
    x = 45,166,214.16/7,219.80
  6. Step 6: Final answer
    x = 6,255.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.