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Finding the Fourth Proportional to 25,964.45, 38,946.65 and 6,243

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Solution

The fourth proportional to 25,964.45, 38,946.65 and 6,243 is: 9,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964.45 : 38,946.65 = 6,243 : x
  2. Step 2: Convert to fraction form
    25,964.45/38,946.65 = 6,243/x
  3. Step 3: Cross multiply
    25,964.45x = 38,946.65 × 6,243
  4. Step 4: Simplify right side
    25,964.45x = 243,143,935.95
  5. Step 5: Solve for x
    x = 243,143,935.95/25,964.45
  6. Step 6: Final answer
    x = 9,364.49

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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.