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Finding the Fourth Proportional to 7,240.61, 9,993.12 and 4,588.27

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Solution

The fourth proportional to 7,240.61, 9,993.12 and 4,588.27 is: 6,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.61 : 9,993.12 = 4,588.27 : x
  2. Step 2: Convert to fraction form
    7,240.61/9,993.12 = 4,588.27/x
  3. Step 3: Cross multiply
    7,240.61x = 9,993.12 × 4,588.27
  4. Step 4: Simplify right side
    7,240.61x = 45,851,059.80
  5. Step 5: Solve for x
    x = 45,851,059.80/7,240.61
  6. Step 6: Final answer
    x = 6,332.49

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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.