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Finding the Fourth Proportional to 9,225.22, 12,698.79 and 6,983.14

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Solution

The fourth proportional to 9,225.22, 12,698.79 and 6,983.14 is: 9,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.22 : 12,698.79 = 6,983.14 : x
  2. Step 2: Convert to fraction form
    9,225.22/12,698.79 = 6,983.14/x
  3. Step 3: Cross multiply
    9,225.22x = 12,698.79 × 6,983.14
  4. Step 4: Simplify right side
    9,225.22x = 88,677,428.40
  5. Step 5: Solve for x
    x = 88,677,428.40/9,225.22
  6. Step 6: Final answer
    x = 9,612.50

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Similar ratio
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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.