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Finding the Fourth Proportional to 34,265, 51,397.50 and 9,641

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Solution

The fourth proportional to 34,265, 51,397.50 and 9,641 is: 14,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,265 : 51,397.50 = 9,641 : x
  2. Step 2: Convert to fraction form
    34,265/51,397.50 = 9,641/x
  3. Step 3: Cross multiply
    34,265x = 51,397.50 × 9,641
  4. Step 4: Simplify right side
    34,265x = 495,523,297.50
  5. Step 5: Solve for x
    x = 495,523,297.50/34,265
  6. Step 6: Final answer
    x = 14,461.50

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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.