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Finding the Fourth Proportional to 5,244.70, 7,867.64 and 1,735.16

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Solution

The fourth proportional to 5,244.70, 7,867.64 and 1,735.16 is: 2,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.70 : 7,867.64 = 1,735.16 : x
  2. Step 2: Convert to fraction form
    5,244.70/7,867.64 = 1,735.16/x
  3. Step 3: Cross multiply
    5,244.70x = 7,867.64 × 1,735.16
  4. Step 4: Simplify right side
    5,244.70x = 13,651,614.22
  5. Step 5: Solve for x
    x = 13,651,614.22/5,244.70
  6. Step 6: Final answer
    x = 2,602.94

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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.