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Finding the Fourth Proportional to 9,411.74, 13,005.11 and 6,754.53

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Solution

The fourth proportional to 9,411.74, 13,005.11 and 6,754.53 is: 9,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.74 : 13,005.11 = 6,754.53 : x
  2. Step 2: Convert to fraction form
    9,411.74/13,005.11 = 6,754.53/x
  3. Step 3: Cross multiply
    9,411.74x = 13,005.11 × 6,754.53
  4. Step 4: Simplify right side
    9,411.74x = 87,843,422.53
  5. Step 5: Solve for x
    x = 87,843,422.53/9,411.74
  6. Step 6: Final answer
    x = 9,333.39

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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.