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Finding the Fourth Proportional to 11,466, 15,823.44 and 6,754.32

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Solution

The fourth proportional to 11,466, 15,823.44 and 6,754.32 is: 9,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466 : 15,823.44 = 6,754.32 : x
  2. Step 2: Convert to fraction form
    11,466/15,823.44 = 6,754.32/x
  3. Step 3: Cross multiply
    11,466x = 15,823.44 × 6,754.32
  4. Step 4: Simplify right side
    11,466x = 106,876,577.26
  5. Step 5: Solve for x
    x = 106,876,577.26/11,466
  6. Step 6: Final answer
    x = 9,321.17

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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.