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Finding the Fourth Proportional to 23,847.76, 35,784.60 and 10,006.48

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Solution

The fourth proportional to 23,847.76, 35,784.60 and 10,006.48 is: 15,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.76 : 35,784.60 = 10,006.48 : x
  2. Step 2: Convert to fraction form
    23,847.76/35,784.60 = 10,006.48/x
  3. Step 3: Cross multiply
    23,847.76x = 35,784.60 × 10,006.48
  4. Step 4: Simplify right side
    23,847.76x = 358,077,884.21
  5. Step 5: Solve for x
    x = 358,077,884.21/23,847.76
  6. Step 6: Final answer
    x = 15,015.16

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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.