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Finding the Fourth Proportional to 10,774.22, 14,866.74 and 6,797.52

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Solution

The fourth proportional to 10,774.22, 14,866.74 and 6,797.52 is: 9,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.22 : 14,866.74 = 6,797.52 : x
  2. Step 2: Convert to fraction form
    10,774.22/14,866.74 = 6,797.52/x
  3. Step 3: Cross multiply
    10,774.22x = 14,866.74 × 6,797.52
  4. Step 4: Simplify right side
    10,774.22x = 101,056,962.48
  5. Step 5: Solve for x
    x = 101,056,962.48/10,774.22
  6. Step 6: Final answer
    x = 9,379.52

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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.