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Finding the Fourth Proportional to 10,920, 15,069.92 and 6,204.48

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Solution

The fourth proportional to 10,920, 15,069.92 and 6,204.48 is: 8,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920 : 15,069.92 = 6,204.48 : x
  2. Step 2: Convert to fraction form
    10,920/15,069.92 = 6,204.48/x
  3. Step 3: Cross multiply
    10,920x = 15,069.92 × 6,204.48
  4. Step 4: Simplify right side
    10,920x = 93,501,017.24
  5. Step 5: Solve for x
    x = 93,501,017.24/10,920
  6. Step 6: Final answer
    x = 8,562.36

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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.