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Finding the Fourth Proportional to 8,996.61, 13,495 and 3,448.63

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Solution

The fourth proportional to 8,996.61, 13,495 and 3,448.63 is: 5,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.61 : 13,495 = 3,448.63 : x
  2. Step 2: Convert to fraction form
    8,996.61/13,495 = 3,448.63/x
  3. Step 3: Cross multiply
    8,996.61x = 13,495 × 3,448.63
  4. Step 4: Simplify right side
    8,996.61x = 46,539,261.85
  5. Step 5: Solve for x
    x = 46,539,261.85/8,996.61
  6. Step 6: Final answer
    x = 5,172.98

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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.