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Finding the Fourth Proportional to 11,483.45, 15,846.18 and 6,947.82

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Solution

The fourth proportional to 11,483.45, 15,846.18 and 6,947.82 is: 9,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.45 : 15,846.18 = 6,947.82 : x
  2. Step 2: Convert to fraction form
    11,483.45/15,846.18 = 6,947.82/x
  3. Step 3: Cross multiply
    11,483.45x = 15,846.18 × 6,947.82
  4. Step 4: Simplify right side
    11,483.45x = 110,096,344.47
  5. Step 5: Solve for x
    x = 110,096,344.47/11,483.45
  6. Step 6: Final answer
    x = 9,587.40

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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.