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Finding the Fourth Proportional to 6,111.60, 9,167.23 and 1,729

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Solution

The fourth proportional to 6,111.60, 9,167.23 and 1,729 is: 2,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.60 : 9,167.23 = 1,729 : x
  2. Step 2: Convert to fraction form
    6,111.60/9,167.23 = 1,729/x
  3. Step 3: Cross multiply
    6,111.60x = 9,167.23 × 1,729
  4. Step 4: Simplify right side
    6,111.60x = 15,850,140.67
  5. Step 5: Solve for x
    x = 15,850,140.67/6,111.60
  6. Step 6: Final answer
    x = 2,593.45

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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.