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Finding the Fourth Proportional to 9,802.53, 13,525.38 and 5,824.98

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Solution

The fourth proportional to 9,802.53, 13,525.38 and 5,824.98 is: 8,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.53 : 13,525.38 = 5,824.98 : x
  2. Step 2: Convert to fraction form
    9,802.53/13,525.38 = 5,824.98/x
  3. Step 3: Cross multiply
    9,802.53x = 13,525.38 × 5,824.98
  4. Step 4: Simplify right side
    9,802.53x = 78,785,067.99
  5. Step 5: Solve for x
    x = 78,785,067.99/9,802.53
  6. Step 6: Final answer
    x = 8,037.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.