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Finding the Fourth Proportional to 23,563.32, 35,344.05 and 7,980.94

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Solution

The fourth proportional to 23,563.32, 35,344.05 and 7,980.94 is: 11,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.32 : 35,344.05 = 7,980.94 : x
  2. Step 2: Convert to fraction form
    23,563.32/35,344.05 = 7,980.94/x
  3. Step 3: Cross multiply
    23,563.32x = 35,344.05 × 7,980.94
  4. Step 4: Simplify right side
    23,563.32x = 282,078,742.41
  5. Step 5: Solve for x
    x = 282,078,742.41/23,563.32
  6. Step 6: Final answer
    x = 11,971.10

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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.