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Finding the Fourth Proportional to 25,897.89, 38,841.22 and 9,259.08

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Solution

The fourth proportional to 25,897.89, 38,841.22 and 9,259.08 is: 13,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.89 : 38,841.22 = 9,259.08 : x
  2. Step 2: Convert to fraction form
    25,897.89/38,841.22 = 9,259.08/x
  3. Step 3: Cross multiply
    25,897.89x = 38,841.22 × 9,259.08
  4. Step 4: Simplify right side
    25,897.89x = 359,633,829.20
  5. Step 5: Solve for x
    x = 359,633,829.20/25,897.89
  6. Step 6: Final answer
    x = 13,886.61

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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.