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Finding the Fourth Proportional to 6,274.50, 9,412.38 and 1,657.50

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Solution

The fourth proportional to 6,274.50, 9,412.38 and 1,657.50 is: 2,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.50 : 9,412.38 = 1,657.50 : x
  2. Step 2: Convert to fraction form
    6,274.50/9,412.38 = 1,657.50/x
  3. Step 3: Cross multiply
    6,274.50x = 9,412.38 × 1,657.50
  4. Step 4: Simplify right side
    6,274.50x = 15,601,019.85
  5. Step 5: Solve for x
    x = 15,601,019.85/6,274.50
  6. Step 6: Final answer
    x = 2,486.42

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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.