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Finding the Fourth Proportional to 7,542.71, 10,409.21 and 5,650.95

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Solution

The fourth proportional to 7,542.71, 10,409.21 and 5,650.95 is: 7,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.71 : 10,409.21 = 5,650.95 : x
  2. Step 2: Convert to fraction form
    7,542.71/10,409.21 = 5,650.95/x
  3. Step 3: Cross multiply
    7,542.71x = 10,409.21 × 5,650.95
  4. Step 4: Simplify right side
    7,542.71x = 58,821,925.25
  5. Step 5: Solve for x
    x = 58,821,925.25/7,542.71
  6. Step 6: Final answer
    x = 7,798.51

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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.