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Finding the Fourth Proportional to 23,638.16, 35,457.08 and 7,222.16

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Solution

The fourth proportional to 23,638.16, 35,457.08 and 7,222.16 is: 10,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.16 : 35,457.08 = 7,222.16 : x
  2. Step 2: Convert to fraction form
    23,638.16/35,457.08 = 7,222.16/x
  3. Step 3: Cross multiply
    23,638.16x = 35,457.08 × 7,222.16
  4. Step 4: Simplify right side
    23,638.16x = 256,076,704.89
  5. Step 5: Solve for x
    x = 256,076,704.89/23,638.16
  6. Step 6: Final answer
    x = 10,833.19

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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.