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Finding the Fourth Proportional to 4,657.57, 6,986.98 and 1,695.63

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Solution

The fourth proportional to 4,657.57, 6,986.98 and 1,695.63 is: 2,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.57 : 6,986.98 = 1,695.63 : x
  2. Step 2: Convert to fraction form
    4,657.57/6,986.98 = 1,695.63/x
  3. Step 3: Cross multiply
    4,657.57x = 6,986.98 × 1,695.63
  4. Step 4: Simplify right side
    4,657.57x = 11,847,292.73
  5. Step 5: Solve for x
    x = 11,847,292.73/4,657.57
  6. Step 6: Final answer
    x = 2,543.67

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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.