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Finding the Fourth Proportional to 12,478.17, 17,219.70 and 6,813

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Solution

The fourth proportional to 12,478.17, 17,219.70 and 6,813 is: 9,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.17 : 17,219.70 = 6,813 : x
  2. Step 2: Convert to fraction form
    12,478.17/17,219.70 = 6,813/x
  3. Step 3: Cross multiply
    12,478.17x = 17,219.70 × 6,813
  4. Step 4: Simplify right side
    12,478.17x = 117,317,816.10
  5. Step 5: Solve for x
    x = 117,317,816.10/12,478.17
  6. Step 6: Final answer
    x = 9,401.84

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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.