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Finding the Fourth Proportional to 7,309.41, 10,964.04 and 3,152.35

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Solution

The fourth proportional to 7,309.41, 10,964.04 and 3,152.35 is: 4,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.41 : 10,964.04 = 3,152.35 : x
  2. Step 2: Convert to fraction form
    7,309.41/10,964.04 = 3,152.35/x
  3. Step 3: Cross multiply
    7,309.41x = 10,964.04 × 3,152.35
  4. Step 4: Simplify right side
    7,309.41x = 34,562,491.49
  5. Step 5: Solve for x
    x = 34,562,491.49/7,309.41
  6. Step 6: Final answer
    x = 4,728.49

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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.