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Finding the Fourth Proportional to 15,801.64, 23,706.90 and 6,917.76

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Solution

The fourth proportional to 15,801.64, 23,706.90 and 6,917.76 is: 10,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.64 : 23,706.90 = 6,917.76 : x
  2. Step 2: Convert to fraction form
    15,801.64/23,706.90 = 6,917.76/x
  3. Step 3: Cross multiply
    15,801.64x = 23,706.90 × 6,917.76
  4. Step 4: Simplify right side
    15,801.64x = 163,998,644.54
  5. Step 5: Solve for x
    x = 163,998,644.54/15,801.64
  6. Step 6: Final answer
    x = 10,378.58

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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.