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Finding the Fourth Proportional to 4,706.57, 7,057.08 and 1,785.08

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Solution

The fourth proportional to 4,706.57, 7,057.08 and 1,785.08 is: 2,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.57 : 7,057.08 = 1,785.08 : x
  2. Step 2: Convert to fraction form
    4,706.57/7,057.08 = 1,785.08/x
  3. Step 3: Cross multiply
    4,706.57x = 7,057.08 × 1,785.08
  4. Step 4: Simplify right side
    4,706.57x = 12,597,417.08
  5. Step 5: Solve for x
    x = 12,597,417.08/4,706.57
  6. Step 6: Final answer
    x = 2,676.56

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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.