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Finding the Fourth Proportional to 6,441.66, 8,882.46 and 4,674.24

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Solution

The fourth proportional to 6,441.66, 8,882.46 and 4,674.24 is: 6,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.66 : 8,882.46 = 4,674.24 : x
  2. Step 2: Convert to fraction form
    6,441.66/8,882.46 = 4,674.24/x
  3. Step 3: Cross multiply
    6,441.66x = 8,882.46 × 4,674.24
  4. Step 4: Simplify right side
    6,441.66x = 41,518,749.83
  5. Step 5: Solve for x
    x = 41,518,749.83/6,441.66
  6. Step 6: Final answer
    x = 6,445.35

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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.