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Finding the Fourth Proportional to 6,712.65, 9,263.14 and 3,728.67

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Solution

The fourth proportional to 6,712.65, 9,263.14 and 3,728.67 is: 5,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.65 : 9,263.14 = 3,728.67 : x
  2. Step 2: Convert to fraction form
    6,712.65/9,263.14 = 3,728.67/x
  3. Step 3: Cross multiply
    6,712.65x = 9,263.14 × 3,728.67
  4. Step 4: Simplify right side
    6,712.65x = 34,539,127.26
  5. Step 5: Solve for x
    x = 34,539,127.26/6,712.65
  6. Step 6: Final answer
    x = 5,145.38

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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.