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Finding the Fourth Proportional to 12,532.80, 18,784.80 and 5,133.60

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Solution

The fourth proportional to 12,532.80, 18,784.80 and 5,133.60 is: 7,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.80 : 18,784.80 = 5,133.60 : x
  2. Step 2: Convert to fraction form
    12,532.80/18,784.80 = 5,133.60/x
  3. Step 3: Cross multiply
    12,532.80x = 18,784.80 × 5,133.60
  4. Step 4: Simplify right side
    12,532.80x = 96,433,649.28
  5. Step 5: Solve for x
    x = 96,433,649.28/12,532.80
  6. Step 6: Final answer
    x = 7,694.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.