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Finding the Fourth Proportional to 7,762.97, 10,711.23 and 4,405.52

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Solution

The fourth proportional to 7,762.97, 10,711.23 and 4,405.52 is: 6,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.97 : 10,711.23 = 4,405.52 : x
  2. Step 2: Convert to fraction form
    7,762.97/10,711.23 = 4,405.52/x
  3. Step 3: Cross multiply
    7,762.97x = 10,711.23 × 4,405.52
  4. Step 4: Simplify right side
    7,762.97x = 47,188,537.99
  5. Step 5: Solve for x
    x = 47,188,537.99/7,762.97
  6. Step 6: Final answer
    x = 6,078.67

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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.