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Finding the Fourth Proportional to 5,167.98, 7,752.65 and 1,656.77

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Solution

The fourth proportional to 5,167.98, 7,752.65 and 1,656.77 is: 2,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.98 : 7,752.65 = 1,656.77 : x
  2. Step 2: Convert to fraction form
    5,167.98/7,752.65 = 1,656.77/x
  3. Step 3: Cross multiply
    5,167.98x = 7,752.65 × 1,656.77
  4. Step 4: Simplify right side
    5,167.98x = 12,844,310.89
  5. Step 5: Solve for x
    x = 12,844,310.89/5,167.98
  6. Step 6: Final answer
    x = 2,485.36

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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.