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Finding the Fourth Proportional to 6,348.46, 9,555.80 and 5,744.74

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Solution

The fourth proportional to 6,348.46, 9,555.80 and 5,744.74 is: 8,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.46 : 9,555.80 = 5,744.74 : x
  2. Step 2: Convert to fraction form
    6,348.46/9,555.80 = 5,744.74/x
  3. Step 3: Cross multiply
    6,348.46x = 9,555.80 × 5,744.74
  4. Step 4: Simplify right side
    6,348.46x = 54,895,586.49
  5. Step 5: Solve for x
    x = 54,895,586.49/6,348.46
  6. Step 6: Final answer
    x = 8,647.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.