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Finding the Fourth Proportional to 4,537.76, 6,774.88 and 4,259.66

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Solution

The fourth proportional to 4,537.76, 6,774.88 and 4,259.66 is: 6,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.76 : 6,774.88 = 4,259.66 : x
  2. Step 2: Convert to fraction form
    4,537.76/6,774.88 = 4,259.66/x
  3. Step 3: Cross multiply
    4,537.76x = 6,774.88 × 4,259.66
  4. Step 4: Simplify right side
    4,537.76x = 28,858,685.34
  5. Step 5: Solve for x
    x = 28,858,685.34/4,537.76
  6. Step 6: Final answer
    x = 6,359.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.