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Finding the Fourth Proportional to 13,193.99, 18,207 and 7,224.53

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Solution

The fourth proportional to 13,193.99, 18,207 and 7,224.53 is: 9,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.99 : 18,207 = 7,224.53 : x
  2. Step 2: Convert to fraction form
    13,193.99/18,207 = 7,224.53/x
  3. Step 3: Cross multiply
    13,193.99x = 18,207 × 7,224.53
  4. Step 4: Simplify right side
    13,193.99x = 131,537,017.71
  5. Step 5: Solve for x
    x = 131,537,017.71/13,193.99
  6. Step 6: Final answer
    x = 9,969.46

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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.