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Finding the Fourth Proportional to 12,574.12, 17,352.74 and 7,270.60

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Solution

The fourth proportional to 12,574.12, 17,352.74 and 7,270.60 is: 10,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.12 : 17,352.74 = 7,270.60 : x
  2. Step 2: Convert to fraction form
    12,574.12/17,352.74 = 7,270.60/x
  3. Step 3: Cross multiply
    12,574.12x = 17,352.74 × 7,270.60
  4. Step 4: Simplify right side
    12,574.12x = 126,164,831.44
  5. Step 5: Solve for x
    x = 126,164,831.44/12,574.12
  6. Step 6: Final answer
    x = 10,033.69

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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.