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Finding the Fourth Proportional to 25,897.77, 38,841.03 and 9,258.96

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Solution

The fourth proportional to 25,897.77, 38,841.03 and 9,258.96 is: 13,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.77 : 38,841.03 = 9,258.96 : x
  2. Step 2: Convert to fraction form
    25,897.77/38,841.03 = 9,258.96/x
  3. Step 3: Cross multiply
    25,897.77x = 38,841.03 × 9,258.96
  4. Step 4: Simplify right side
    25,897.77x = 359,627,543.13
  5. Step 5: Solve for x
    x = 359,627,543.13/25,897.77
  6. Step 6: Final answer
    x = 13,886.43

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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.