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Finding the Fourth Proportional to 7,113.99, 9,818.24 and 3,970.83

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Solution

The fourth proportional to 7,113.99, 9,818.24 and 3,970.83 is: 5,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.99 : 9,818.24 = 3,970.83 : x
  2. Step 2: Convert to fraction form
    7,113.99/9,818.24 = 3,970.83/x
  3. Step 3: Cross multiply
    7,113.99x = 9,818.24 × 3,970.83
  4. Step 4: Simplify right side
    7,113.99x = 38,986,542.09
  5. Step 5: Solve for x
    x = 38,986,542.09/7,113.99
  6. Step 6: Final answer
    x = 5,480.26

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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.