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Finding the Fourth Proportional to 25,381.44, 38,071.44 and 9,802.44

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Solution

The fourth proportional to 25,381.44, 38,071.44 and 9,802.44 is: 14,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,381.44 : 38,071.44 = 9,802.44 : x
  2. Step 2: Convert to fraction form
    25,381.44/38,071.44 = 9,802.44/x
  3. Step 3: Cross multiply
    25,381.44x = 38,071.44 × 9,802.44
  4. Step 4: Simplify right side
    25,381.44x = 373,193,006.31
  5. Step 5: Solve for x
    x = 373,193,006.31/25,381.44
  6. Step 6: Final answer
    x = 14,703.38

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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.