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Finding the Fourth Proportional to 7,023.42, 10,534.42 and 1,829.29

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Solution

The fourth proportional to 7,023.42, 10,534.42 and 1,829.29 is: 2,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.42 : 10,534.42 = 1,829.29 : x
  2. Step 2: Convert to fraction form
    7,023.42/10,534.42 = 1,829.29/x
  3. Step 3: Cross multiply
    7,023.42x = 10,534.42 × 1,829.29
  4. Step 4: Simplify right side
    7,023.42x = 19,270,509.16
  5. Step 5: Solve for x
    x = 19,270,509.16/7,023.42
  6. Step 6: Final answer
    x = 2,743.75

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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.