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Finding the Fourth Proportional to 11,460.76, 15,814.38 and 6,743.32

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Solution

The fourth proportional to 11,460.76, 15,814.38 and 6,743.32 is: 9,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.76 : 15,814.38 = 6,743.32 : x
  2. Step 2: Convert to fraction form
    11,460.76/15,814.38 = 6,743.32/x
  3. Step 3: Cross multiply
    11,460.76x = 15,814.38 × 6,743.32
  4. Step 4: Simplify right side
    11,460.76x = 106,641,424.94
  5. Step 5: Solve for x
    x = 106,641,424.94/11,460.76
  6. Step 6: Final answer
    x = 9,304.92

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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.