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Finding the Fourth Proportional to 5,165.25, 7,775.98 and 4,705.98

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Solution

The fourth proportional to 5,165.25, 7,775.98 and 4,705.98 is: 7,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.25 : 7,775.98 = 4,705.98 : x
  2. Step 2: Convert to fraction form
    5,165.25/7,775.98 = 4,705.98/x
  3. Step 3: Cross multiply
    5,165.25x = 7,775.98 × 4,705.98
  4. Step 4: Simplify right side
    5,165.25x = 36,593,618.13
  5. Step 5: Solve for x
    x = 36,593,618.13/5,165.25
  6. Step 6: Final answer
    x = 7,084.58

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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.