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Finding the Fourth Proportional to 7,309.02, 10,964.13 and 2,378.55

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Solution

The fourth proportional to 7,309.02, 10,964.13 and 2,378.55 is: 3,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.02 : 10,964.13 = 2,378.55 : x
  2. Step 2: Convert to fraction form
    7,309.02/10,964.13 = 2,378.55/x
  3. Step 3: Cross multiply
    7,309.02x = 10,964.13 × 2,378.55
  4. Step 4: Simplify right side
    7,309.02x = 26,078,731.41
  5. Step 5: Solve for x
    x = 26,078,731.41/7,309.02
  6. Step 6: Final answer
    x = 3,568.02

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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.