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Finding the Fourth Proportional to 6,984.59, 10,476.88 and 3,698.42

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Solution

The fourth proportional to 6,984.59, 10,476.88 and 3,698.42 is: 5,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.59 : 10,476.88 = 3,698.42 : x
  2. Step 2: Convert to fraction form
    6,984.59/10,476.88 = 3,698.42/x
  3. Step 3: Cross multiply
    6,984.59x = 10,476.88 × 3,698.42
  4. Step 4: Simplify right side
    6,984.59x = 38,747,840.90
  5. Step 5: Solve for x
    x = 38,747,840.90/6,984.59
  6. Step 6: Final answer
    x = 5,547.62

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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.