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Finding the Fourth Proportional to 5,166.84, 7,749.62 and 1,657.24

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Solution

The fourth proportional to 5,166.84, 7,749.62 and 1,657.24 is: 2,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.84 : 7,749.62 = 1,657.24 : x
  2. Step 2: Convert to fraction form
    5,166.84/7,749.62 = 1,657.24/x
  3. Step 3: Cross multiply
    5,166.84x = 7,749.62 × 1,657.24
  4. Step 4: Simplify right side
    5,166.84x = 12,842,980.25
  5. Step 5: Solve for x
    x = 12,842,980.25/5,166.84
  6. Step 6: Final answer
    x = 2,485.65

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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.