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Finding the Fourth Proportional to 25,600.88, 38,395.32 and 9,802.64

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Solution

The fourth proportional to 25,600.88, 38,395.32 and 9,802.64 is: 14,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.88 : 38,395.32 = 9,802.64 : x
  2. Step 2: Convert to fraction form
    25,600.88/38,395.32 = 9,802.64/x
  3. Step 3: Cross multiply
    25,600.88x = 38,395.32 × 9,802.64
  4. Step 4: Simplify right side
    25,600.88x = 376,375,499.64
  5. Step 5: Solve for x
    x = 376,375,499.64/25,600.88
  6. Step 6: Final answer
    x = 14,701.66

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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.