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Finding the Fourth Proportional to 25,899.16, 38,856.93 and 9,258.82

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Solution

The fourth proportional to 25,899.16, 38,856.93 and 9,258.82 is: 13,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,899.16 : 38,856.93 = 9,258.82 : x
  2. Step 2: Convert to fraction form
    25,899.16/38,856.93 = 9,258.82/x
  3. Step 3: Cross multiply
    25,899.16x = 38,856.93 × 9,258.82
  4. Step 4: Simplify right side
    25,899.16x = 359,769,320.62
  5. Step 5: Solve for x
    x = 359,769,320.62/25,899.16
  6. Step 6: Final answer
    x = 13,891.16

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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.