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Finding the Fourth Proportional to 15,800.14, 23,704.64 and 6,916.24

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Solution

The fourth proportional to 15,800.14, 23,704.64 and 6,916.24 is: 10,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.14 : 23,704.64 = 6,916.24 : x
  2. Step 2: Convert to fraction form
    15,800.14/23,704.64 = 6,916.24/x
  3. Step 3: Cross multiply
    15,800.14x = 23,704.64 × 6,916.24
  4. Step 4: Simplify right side
    15,800.14x = 163,946,979.35
  5. Step 5: Solve for x
    x = 163,946,979.35/15,800.14
  6. Step 6: Final answer
    x = 10,376.30

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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.