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Finding the Fourth Proportional to 6,337.44, 8,748 and 4,762.80

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Solution

The fourth proportional to 6,337.44, 8,748 and 4,762.80 is: 6,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.44 : 8,748 = 4,762.80 : x
  2. Step 2: Convert to fraction form
    6,337.44/8,748 = 4,762.80/x
  3. Step 3: Cross multiply
    6,337.44x = 8,748 × 4,762.80
  4. Step 4: Simplify right side
    6,337.44x = 41,664,974.40
  5. Step 5: Solve for x
    x = 41,664,974.40/6,337.44
  6. Step 6: Final answer
    x = 6,574.42

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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.