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Finding the Fourth Proportional to 5,247.69, 7,865.76 and 4,632.90

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Solution

The fourth proportional to 5,247.69, 7,865.76 and 4,632.90 is: 6,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.69 : 7,865.76 = 4,632.90 : x
  2. Step 2: Convert to fraction form
    5,247.69/7,865.76 = 4,632.90/x
  3. Step 3: Cross multiply
    5,247.69x = 7,865.76 × 4,632.90
  4. Step 4: Simplify right side
    5,247.69x = 36,441,256.34
  5. Step 5: Solve for x
    x = 36,441,256.34/5,247.69
  6. Step 6: Final answer
    x = 6,944.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.