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Finding the Fourth Proportional to 12,883.97, 17,783.39 and 7,580.50

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Solution

The fourth proportional to 12,883.97, 17,783.39 and 7,580.50 is: 10,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.97 : 17,783.39 = 7,580.50 : x
  2. Step 2: Convert to fraction form
    12,883.97/17,783.39 = 7,580.50/x
  3. Step 3: Cross multiply
    12,883.97x = 17,783.39 × 7,580.50
  4. Step 4: Simplify right side
    12,883.97x = 134,806,905.53
  5. Step 5: Solve for x
    x = 134,806,905.53/12,883.97
  6. Step 6: Final answer
    x = 10,463.15

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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.