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Finding the Fourth Proportional to 9,681.84, 13,361.58 and 5,490.90

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Solution

The fourth proportional to 9,681.84, 13,361.58 and 5,490.90 is: 7,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.84 : 13,361.58 = 5,490.90 : x
  2. Step 2: Convert to fraction form
    9,681.84/13,361.58 = 5,490.90/x
  3. Step 3: Cross multiply
    9,681.84x = 13,361.58 × 5,490.90
  4. Step 4: Simplify right side
    9,681.84x = 73,367,099.62
  5. Step 5: Solve for x
    x = 73,367,099.62/9,681.84
  6. Step 6: Final answer
    x = 7,577.81

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Double scale
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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.