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Finding the Fourth Proportional to 23,877.71, 35,823.72 and 9,638.86

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Solution

The fourth proportional to 23,877.71, 35,823.72 and 9,638.86 is: 14,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877.71 : 35,823.72 = 9,638.86 : x
  2. Step 2: Convert to fraction form
    23,877.71/35,823.72 = 9,638.86/x
  3. Step 3: Cross multiply
    23,877.71x = 35,823.72 × 9,638.86
  4. Step 4: Simplify right side
    23,877.71x = 345,299,642.64
  5. Step 5: Solve for x
    x = 345,299,642.64/23,877.71
  6. Step 6: Final answer
    x = 14,461.17

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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.