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Finding the Fourth Proportional to 12,532.86, 17,295.22 and 6,867.54

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Solution

The fourth proportional to 12,532.86, 17,295.22 and 6,867.54 is: 9,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.86 : 17,295.22 = 6,867.54 : x
  2. Step 2: Convert to fraction form
    12,532.86/17,295.22 = 6,867.54/x
  3. Step 3: Cross multiply
    12,532.86x = 17,295.22 × 6,867.54
  4. Step 4: Simplify right side
    12,532.86x = 118,775,615.16
  5. Step 5: Solve for x
    x = 118,775,615.16/12,532.86
  6. Step 6: Final answer
    x = 9,477.14

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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.