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Finding the Fourth Proportional to 9,881.84, 13,631 and 6,524.66

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Solution

The fourth proportional to 9,881.84, 13,631 and 6,524.66 is: 9,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.84 : 13,631 = 6,524.66 : x
  2. Step 2: Convert to fraction form
    9,881.84/13,631 = 6,524.66/x
  3. Step 3: Cross multiply
    9,881.84x = 13,631 × 6,524.66
  4. Step 4: Simplify right side
    9,881.84x = 88,937,640.46
  5. Step 5: Solve for x
    x = 88,937,640.46/9,881.84
  6. Step 6: Final answer
    x = 9,000.11

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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.