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Finding the Fourth Proportional to 3,510.10, 5,266.10 and 1,170.48

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Solution

The fourth proportional to 3,510.10, 5,266.10 and 1,170.48 is: 1,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.10 : 5,266.10 = 1,170.48 : x
  2. Step 2: Convert to fraction form
    3,510.10/5,266.10 = 1,170.48/x
  3. Step 3: Cross multiply
    3,510.10x = 5,266.10 × 1,170.48
  4. Step 4: Simplify right side
    3,510.10x = 6,163,864.73
  5. Step 5: Solve for x
    x = 6,163,864.73/3,510.10
  6. Step 6: Final answer
    x = 1,756.04

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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.