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Finding the Fourth Proportional to 7,758.57, 10,688.01 and 5,765.67

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Solution

The fourth proportional to 7,758.57, 10,688.01 and 5,765.67 is: 7,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.57 : 10,688.01 = 5,765.67 : x
  2. Step 2: Convert to fraction form
    7,758.57/10,688.01 = 5,765.67/x
  3. Step 3: Cross multiply
    7,758.57x = 10,688.01 × 5,765.67
  4. Step 4: Simplify right side
    7,758.57x = 61,623,538.62
  5. Step 5: Solve for x
    x = 61,623,538.62/7,758.57
  6. Step 6: Final answer
    x = 7,942.64

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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.