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Finding the Fourth Proportional to 7,124.22, 9,829.26 and 4,139.48

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Solution

The fourth proportional to 7,124.22, 9,829.26 and 4,139.48 is: 5,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.22 : 9,829.26 = 4,139.48 : x
  2. Step 2: Convert to fraction form
    7,124.22/9,829.26 = 4,139.48/x
  3. Step 3: Cross multiply
    7,124.22x = 9,829.26 × 4,139.48
  4. Step 4: Simplify right side
    7,124.22x = 40,688,025.18
  5. Step 5: Solve for x
    x = 40,688,025.18/7,124.22
  6. Step 6: Final answer
    x = 5,711.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.