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Finding the Fourth Proportional to 6,416.70, 9,625.05 and 4,672.80

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Solution

The fourth proportional to 6,416.70, 9,625.05 and 4,672.80 is: 7,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.70 : 9,625.05 = 4,672.80 : x
  2. Step 2: Convert to fraction form
    6,416.70/9,625.05 = 4,672.80/x
  3. Step 3: Cross multiply
    6,416.70x = 9,625.05 × 4,672.80
  4. Step 4: Simplify right side
    6,416.70x = 44,975,933.64
  5. Step 5: Solve for x
    x = 44,975,933.64/6,416.70
  6. Step 6: Final answer
    x = 7,009.20

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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.