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Finding the Fourth Proportional to 25,869.16, 38,804.10 and 7,401.16

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Solution

The fourth proportional to 25,869.16, 38,804.10 and 7,401.16 is: 11,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,869.16 : 38,804.10 = 7,401.16 : x
  2. Step 2: Convert to fraction form
    25,869.16/38,804.10 = 7,401.16/x
  3. Step 3: Cross multiply
    25,869.16x = 38,804.10 × 7,401.16
  4. Step 4: Simplify right side
    25,869.16x = 287,195,352.76
  5. Step 5: Solve for x
    x = 287,195,352.76/25,869.16
  6. Step 6: Final answer
    x = 11,101.84

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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.