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Finding the Fourth Proportional to 11,410.53, 15,746.36 and 6,374.82

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Solution

The fourth proportional to 11,410.53, 15,746.36 and 6,374.82 is: 8,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.53 : 15,746.36 = 6,374.82 : x
  2. Step 2: Convert to fraction form
    11,410.53/15,746.36 = 6,374.82/x
  3. Step 3: Cross multiply
    11,410.53x = 15,746.36 × 6,374.82
  4. Step 4: Simplify right side
    11,410.53x = 100,380,210.66
  5. Step 5: Solve for x
    x = 100,380,210.66/11,410.53
  6. Step 6: Final answer
    x = 8,797.16

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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.