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Finding the Fourth Proportional to 15,684.60, 23,534.18 and 5,827.31

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Solution

The fourth proportional to 15,684.60, 23,534.18 and 5,827.31 is: 8,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.60 : 23,534.18 = 5,827.31 : x
  2. Step 2: Convert to fraction form
    15,684.60/23,534.18 = 5,827.31/x
  3. Step 3: Cross multiply
    15,684.60x = 23,534.18 × 5,827.31
  4. Step 4: Simplify right side
    15,684.60x = 137,140,815.65
  5. Step 5: Solve for x
    x = 137,140,815.65/15,684.60
  6. Step 6: Final answer
    x = 8,743.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.