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Finding the Fourth Proportional to 6,989.64, 9,648.22 and 4,632.54

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Solution

The fourth proportional to 6,989.64, 9,648.22 and 4,632.54 is: 6,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.64 : 9,648.22 = 4,632.54 : x
  2. Step 2: Convert to fraction form
    6,989.64/9,648.22 = 4,632.54/x
  3. Step 3: Cross multiply
    6,989.64x = 9,648.22 × 4,632.54
  4. Step 4: Simplify right side
    6,989.64x = 44,695,765.08
  5. Step 5: Solve for x
    x = 44,695,765.08/6,989.64
  6. Step 6: Final answer
    x = 6,394.57

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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.