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Finding the Fourth Proportional to 11,307.57, 16,969.25 and 4,644.57

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Solution

The fourth proportional to 11,307.57, 16,969.25 and 4,644.57 is: 6,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.57 : 16,969.25 = 4,644.57 : x
  2. Step 2: Convert to fraction form
    11,307.57/16,969.25 = 4,644.57/x
  3. Step 3: Cross multiply
    11,307.57x = 16,969.25 × 4,644.57
  4. Step 4: Simplify right side
    11,307.57x = 78,814,918.59
  5. Step 5: Solve for x
    x = 78,814,918.59/11,307.57
  6. Step 6: Final answer
    x = 6,970.10

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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.