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Finding the Fourth Proportional to 4,707.57, 7,059.74 and 1,786.71

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Solution

The fourth proportional to 4,707.57, 7,059.74 and 1,786.71 is: 2,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.57 : 7,059.74 = 1,786.71 : x
  2. Step 2: Convert to fraction form
    4,707.57/7,059.74 = 1,786.71/x
  3. Step 3: Cross multiply
    4,707.57x = 7,059.74 × 1,786.71
  4. Step 4: Simplify right side
    4,707.57x = 12,613,699.12
  5. Step 5: Solve for x
    x = 12,613,699.12/4,707.57
  6. Step 6: Final answer
    x = 2,679.45

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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.