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Finding the Fourth Proportional to 7,098.66, 9,796.58 and 3,911.95

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Solution

The fourth proportional to 7,098.66, 9,796.58 and 3,911.95 is: 5,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.66 : 9,796.58 = 3,911.95 : x
  2. Step 2: Convert to fraction form
    7,098.66/9,796.58 = 3,911.95/x
  3. Step 3: Cross multiply
    7,098.66x = 9,796.58 × 3,911.95
  4. Step 4: Simplify right side
    7,098.66x = 38,323,683.38
  5. Step 5: Solve for x
    x = 38,323,683.38/7,098.66
  6. Step 6: Final answer
    x = 5,398.72

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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.