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Finding the Fourth Proportional to 9,292.80, 13,914.90 and 6,814.20

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Solution

The fourth proportional to 9,292.80, 13,914.90 and 6,814.20 is: 10,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.80 : 13,914.90 = 6,814.20 : x
  2. Step 2: Convert to fraction form
    9,292.80/13,914.90 = 6,814.20/x
  3. Step 3: Cross multiply
    9,292.80x = 13,914.90 × 6,814.20
  4. Step 4: Simplify right side
    9,292.80x = 94,818,911.58
  5. Step 5: Solve for x
    x = 94,818,911.58/9,292.80
  6. Step 6: Final answer
    x = 10,203.48

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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.