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Finding the Fourth Proportional to 3,697.85, 5,546.75 and 924.50

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Solution

The fourth proportional to 3,697.85, 5,546.75 and 924.50 is: 1,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.85 : 5,546.75 = 924.50 : x
  2. Step 2: Convert to fraction form
    3,697.85/5,546.75 = 924.50/x
  3. Step 3: Cross multiply
    3,697.85x = 5,546.75 × 924.50
  4. Step 4: Simplify right side
    3,697.85x = 5,127,979.62
  5. Step 5: Solve for x
    x = 5,127,979.62/3,697.85
  6. Step 6: Final answer
    x = 1,386.75

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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.