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Finding the Fourth Proportional to 9,698.49, 14,547.78 and 4,147.14

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Solution

The fourth proportional to 9,698.49, 14,547.78 and 4,147.14 is: 6,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.49 : 14,547.78 = 4,147.14 : x
  2. Step 2: Convert to fraction form
    9,698.49/14,547.78 = 4,147.14/x
  3. Step 3: Cross multiply
    9,698.49x = 14,547.78 × 4,147.14
  4. Step 4: Simplify right side
    9,698.49x = 60,331,680.35
  5. Step 5: Solve for x
    x = 60,331,680.35/9,698.49
  6. Step 6: Final answer
    x = 6,220.73

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Similar ratio
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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.