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Finding the Fourth Proportional to 7,197.48, 9,932.17 and 4,009.32

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Solution

The fourth proportional to 7,197.48, 9,932.17 and 4,009.32 is: 5,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.48 : 9,932.17 = 4,009.32 : x
  2. Step 2: Convert to fraction form
    7,197.48/9,932.17 = 4,009.32/x
  3. Step 3: Cross multiply
    7,197.48x = 9,932.17 × 4,009.32
  4. Step 4: Simplify right side
    7,197.48x = 39,821,247.82
  5. Step 5: Solve for x
    x = 39,821,247.82/7,197.48
  6. Step 6: Final answer
    x = 5,532.67

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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.