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Finding the Fourth Proportional to 13,605.84, 20,396.16 and 4,839.12

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Solution

The fourth proportional to 13,605.84, 20,396.16 and 4,839.12 is: 7,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.84 : 20,396.16 = 4,839.12 : x
  2. Step 2: Convert to fraction form
    13,605.84/20,396.16 = 4,839.12/x
  3. Step 3: Cross multiply
    13,605.84x = 20,396.16 × 4,839.12
  4. Step 4: Simplify right side
    13,605.84x = 98,699,465.78
  5. Step 5: Solve for x
    x = 98,699,465.78/13,605.84
  6. Step 6: Final answer
    x = 7,254.20

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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.