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Finding the Fourth Proportional to 5,697.94, 8,546.21 and 1,537.63

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Solution

The fourth proportional to 5,697.94, 8,546.21 and 1,537.63 is: 2,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.94 : 8,546.21 = 1,537.63 : x
  2. Step 2: Convert to fraction form
    5,697.94/8,546.21 = 1,537.63/x
  3. Step 3: Cross multiply
    5,697.94x = 8,546.21 × 1,537.63
  4. Step 4: Simplify right side
    5,697.94x = 13,140,866.15
  5. Step 5: Solve for x
    x = 13,140,866.15/5,697.94
  6. Step 6: Final answer
    x = 2,306.25

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Double scale
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Similar ratio
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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.