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Finding the Fourth Proportional to 7,227.90, 10,829.07 and 5,032.38

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Solution

The fourth proportional to 7,227.90, 10,829.07 and 5,032.38 is: 7,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.90 : 10,829.07 = 5,032.38 : x
  2. Step 2: Convert to fraction form
    7,227.90/10,829.07 = 5,032.38/x
  3. Step 3: Cross multiply
    7,227.90x = 10,829.07 × 5,032.38
  4. Step 4: Simplify right side
    7,227.90x = 54,495,995.29
  5. Step 5: Solve for x
    x = 54,495,995.29/7,227.90
  6. Step 6: Final answer
    x = 7,539.67

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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.