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Finding the Fourth Proportional to 11,460.60, 15,815.72 and 6,683.82

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Solution

The fourth proportional to 11,460.60, 15,815.72 and 6,683.82 is: 9,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.60 : 15,815.72 = 6,683.82 : x
  2. Step 2: Convert to fraction form
    11,460.60/15,815.72 = 6,683.82/x
  3. Step 3: Cross multiply
    11,460.60x = 15,815.72 × 6,683.82
  4. Step 4: Simplify right side
    11,460.60x = 105,709,425.65
  5. Step 5: Solve for x
    x = 105,709,425.65/11,460.60
  6. Step 6: Final answer
    x = 9,223.73

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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.