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Finding the Fourth Proportional to 8,053.67, 11,114.69 and 4,468.95

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Solution

The fourth proportional to 8,053.67, 11,114.69 and 4,468.95 is: 6,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.67 : 11,114.69 = 4,468.95 : x
  2. Step 2: Convert to fraction form
    8,053.67/11,114.69 = 4,468.95/x
  3. Step 3: Cross multiply
    8,053.67x = 11,114.69 × 4,468.95
  4. Step 4: Simplify right side
    8,053.67x = 49,670,971.53
  5. Step 5: Solve for x
    x = 49,670,971.53/8,053.67
  6. Step 6: Final answer
    x = 6,167.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.