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Finding the Fourth Proportional to 8,684.58, 11,984.94 and 5,325.47

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Solution

The fourth proportional to 8,684.58, 11,984.94 and 5,325.47 is: 7,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.58 : 11,984.94 = 5,325.47 : x
  2. Step 2: Convert to fraction form
    8,684.58/11,984.94 = 5,325.47/x
  3. Step 3: Cross multiply
    8,684.58x = 11,984.94 × 5,325.47
  4. Step 4: Simplify right side
    8,684.58x = 63,825,378.50
  5. Step 5: Solve for x
    x = 63,825,378.50/8,684.58
  6. Step 6: Final answer
    x = 7,349.28

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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.