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Finding the Fourth Proportional to 11,460.18, 15,814.81 and 6,424.82

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Solution

The fourth proportional to 11,460.18, 15,814.81 and 6,424.82 is: 8,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.18 : 15,814.81 = 6,424.82 : x
  2. Step 2: Convert to fraction form
    11,460.18/15,814.81 = 6,424.82/x
  3. Step 3: Cross multiply
    11,460.18x = 15,814.81 × 6,424.82
  4. Step 4: Simplify right side
    11,460.18x = 101,607,295.85
  5. Step 5: Solve for x
    x = 101,607,295.85/11,460.18
  6. Step 6: Final answer
    x = 8,866.11

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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.