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Finding the Fourth Proportional to 8,230.51, 11,358.13 and 7,602.64

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Solution

The fourth proportional to 8,230.51, 11,358.13 and 7,602.64 is: 10,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.51 : 11,358.13 = 7,602.64 : x
  2. Step 2: Convert to fraction form
    8,230.51/11,358.13 = 7,602.64/x
  3. Step 3: Cross multiply
    8,230.51x = 11,358.13 × 7,602.64
  4. Step 4: Simplify right side
    8,230.51x = 86,351,716.67
  5. Step 5: Solve for x
    x = 86,351,716.67/8,230.51
  6. Step 6: Final answer
    x = 10,491.67

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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.