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Finding the Fourth Proportional to 25,894.61, 38,842.75 and 7,174.83

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Solution

The fourth proportional to 25,894.61, 38,842.75 and 7,174.83 is: 10,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.61 : 38,842.75 = 7,174.83 : x
  2. Step 2: Convert to fraction form
    25,894.61/38,842.75 = 7,174.83/x
  3. Step 3: Cross multiply
    25,894.61x = 38,842.75 × 7,174.83
  4. Step 4: Simplify right side
    25,894.61x = 278,689,897.89
  5. Step 5: Solve for x
    x = 278,689,897.89/25,894.61
  6. Step 6: Final answer
    x = 10,762.47

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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.