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Finding the Fourth Proportional to 11,046.64, 15,243.16 and 6,077.68

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Solution

The fourth proportional to 11,046.64, 15,243.16 and 6,077.68 is: 8,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.64 : 15,243.16 = 6,077.68 : x
  2. Step 2: Convert to fraction form
    11,046.64/15,243.16 = 6,077.68/x
  3. Step 3: Cross multiply
    11,046.64x = 15,243.16 × 6,077.68
  4. Step 4: Simplify right side
    11,046.64x = 92,643,048.67
  5. Step 5: Solve for x
    x = 92,643,048.67/11,046.64
  6. Step 6: Final answer
    x = 8,386.54

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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.