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Finding the Fourth Proportional to 9,802.99, 13,529.29 and 5,824.11

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Solution

The fourth proportional to 9,802.99, 13,529.29 and 5,824.11 is: 8,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.99 : 13,529.29 = 5,824.11 : x
  2. Step 2: Convert to fraction form
    9,802.99/13,529.29 = 5,824.11/x
  3. Step 3: Cross multiply
    9,802.99x = 13,529.29 × 5,824.11
  4. Step 4: Simplify right side
    9,802.99x = 78,796,073.18
  5. Step 5: Solve for x
    x = 78,796,073.18/9,802.99
  6. Step 6: Final answer
    x = 8,037.96

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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.