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Finding the Fourth Proportional to 13,202, 19,803.04 and 4,994

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Solution

The fourth proportional to 13,202, 19,803.04 and 4,994 is: 7,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202 : 19,803.04 = 4,994 : x
  2. Step 2: Convert to fraction form
    13,202/19,803.04 = 4,994/x
  3. Step 3: Cross multiply
    13,202x = 19,803.04 × 4,994
  4. Step 4: Simplify right side
    13,202x = 98,896,381.76
  5. Step 5: Solve for x
    x = 98,896,381.76/13,202
  6. Step 6: Final answer
    x = 7,491.02

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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.