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Finding the Fourth Proportional to 5,168.63, 7,752.95 and 1,706.15

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Solution

The fourth proportional to 5,168.63, 7,752.95 and 1,706.15 is: 2,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.63 : 7,752.95 = 1,706.15 : x
  2. Step 2: Convert to fraction form
    5,168.63/7,752.95 = 1,706.15/x
  3. Step 3: Cross multiply
    5,168.63x = 7,752.95 × 1,706.15
  4. Step 4: Simplify right side
    5,168.63x = 13,227,648.35
  5. Step 5: Solve for x
    x = 13,227,648.35/5,168.63
  6. Step 6: Final answer
    x = 2,559.22

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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.