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Finding the Fourth Proportional to 7,830.53, 11,732.10 and 6,522.67

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Solution

The fourth proportional to 7,830.53, 11,732.10 and 6,522.67 is: 9,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.53 : 11,732.10 = 6,522.67 : x
  2. Step 2: Convert to fraction form
    7,830.53/11,732.10 = 6,522.67/x
  3. Step 3: Cross multiply
    7,830.53x = 11,732.10 × 6,522.67
  4. Step 4: Simplify right side
    7,830.53x = 76,524,616.71
  5. Step 5: Solve for x
    x = 76,524,616.71/7,830.53
  6. Step 6: Final answer
    x = 9,772.60

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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.