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Finding the Fourth Proportional to 4,137.67, 6,206.34 and 1,017.68

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Solution

The fourth proportional to 4,137.67, 6,206.34 and 1,017.68 is: 1,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.67 : 6,206.34 = 1,017.68 : x
  2. Step 2: Convert to fraction form
    4,137.67/6,206.34 = 1,017.68/x
  3. Step 3: Cross multiply
    4,137.67x = 6,206.34 × 1,017.68
  4. Step 4: Simplify right side
    4,137.67x = 6,316,068.09
  5. Step 5: Solve for x
    x = 6,316,068.09/4,137.67
  6. Step 6: Final answer
    x = 1,526.48

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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.