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Finding the Fourth Proportional to 7,767.53, 11,705.96 and 7,028.14

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Solution

The fourth proportional to 7,767.53, 11,705.96 and 7,028.14 is: 10,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.53 : 11,705.96 = 7,028.14 : x
  2. Step 2: Convert to fraction form
    7,767.53/11,705.96 = 7,028.14/x
  3. Step 3: Cross multiply
    7,767.53x = 11,705.96 × 7,028.14
  4. Step 4: Simplify right side
    7,767.53x = 82,271,125.71
  5. Step 5: Solve for x
    x = 82,271,125.71/7,767.53
  6. Step 6: Final answer
    x = 10,591.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.