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Finding the Fourth Proportional to 6,981.66, 9,630.60 and 4,497.66

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Solution

The fourth proportional to 6,981.66, 9,630.60 and 4,497.66 is: 6,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.66 : 9,630.60 = 4,497.66 : x
  2. Step 2: Convert to fraction form
    6,981.66/9,630.60 = 4,497.66/x
  3. Step 3: Cross multiply
    6,981.66x = 9,630.60 × 4,497.66
  4. Step 4: Simplify right side
    6,981.66x = 43,315,164.40
  5. Step 5: Solve for x
    x = 43,315,164.40/6,981.66
  6. Step 6: Final answer
    x = 6,204.14

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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.