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Finding the Fourth Proportional to 25,569.54, 38,354 and 6,594.07

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Solution

The fourth proportional to 25,569.54, 38,354 and 6,594.07 is: 9,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,569.54 : 38,354 = 6,594.07 : x
  2. Step 2: Convert to fraction form
    25,569.54/38,354 = 6,594.07/x
  3. Step 3: Cross multiply
    25,569.54x = 38,354 × 6,594.07
  4. Step 4: Simplify right side
    25,569.54x = 252,908,960.78
  5. Step 5: Solve for x
    x = 252,908,960.78/25,569.54
  6. Step 6: Final answer
    x = 9,891.03

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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.