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Finding the Fourth Proportional to 7,532.70, 10,384.92 and 6,351.72

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Solution

The fourth proportional to 7,532.70, 10,384.92 and 6,351.72 is: 8,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.70 : 10,384.92 = 6,351.72 : x
  2. Step 2: Convert to fraction form
    7,532.70/10,384.92 = 6,351.72/x
  3. Step 3: Cross multiply
    7,532.70x = 10,384.92 × 6,351.72
  4. Step 4: Simplify right side
    7,532.70x = 65,962,104.06
  5. Step 5: Solve for x
    x = 65,962,104.06/7,532.70
  6. Step 6: Final answer
    x = 8,756.77

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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.