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Finding the Fourth Proportional to 4,663.62, 6,435.90 and 2,567.76

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Solution

The fourth proportional to 4,663.62, 6,435.90 and 2,567.76 is: 3,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.62 : 6,435.90 = 2,567.76 : x
  2. Step 2: Convert to fraction form
    4,663.62/6,435.90 = 2,567.76/x
  3. Step 3: Cross multiply
    4,663.62x = 6,435.90 × 2,567.76
  4. Step 4: Simplify right side
    4,663.62x = 16,525,846.58
  5. Step 5: Solve for x
    x = 16,525,846.58/4,663.62
  6. Step 6: Final answer
    x = 3,543.57

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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.