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Finding the Fourth Proportional to 5,184.74, 7,778.63 and 1,674.67

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Solution

The fourth proportional to 5,184.74, 7,778.63 and 1,674.67 is: 2,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.74 : 7,778.63 = 1,674.67 : x
  2. Step 2: Convert to fraction form
    5,184.74/7,778.63 = 1,674.67/x
  3. Step 3: Cross multiply
    5,184.74x = 7,778.63 × 1,674.67
  4. Step 4: Simplify right side
    5,184.74x = 13,026,638.30
  5. Step 5: Solve for x
    x = 13,026,638.30/5,184.74
  6. Step 6: Final answer
    x = 2,512.50

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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.