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Finding the Fourth Proportional to 15,913.61, 23,873 and 5,384.27

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Solution

The fourth proportional to 15,913.61, 23,873 and 5,384.27 is: 8,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.61 : 23,873 = 5,384.27 : x
  2. Step 2: Convert to fraction form
    15,913.61/23,873 = 5,384.27/x
  3. Step 3: Cross multiply
    15,913.61x = 23,873 × 5,384.27
  4. Step 4: Simplify right side
    15,913.61x = 128,538,677.71
  5. Step 5: Solve for x
    x = 128,538,677.71/15,913.61
  6. Step 6: Final answer
    x = 8,077.28

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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.