Home / 9,727.84-13,427.40-6,584

Finding the Fourth Proportional to 9,727.84, 13,427.40 and 6,584

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Solution

The fourth proportional to 9,727.84, 13,427.40 and 6,584 is: 9,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.84 : 13,427.40 = 6,584 : x
  2. Step 2: Convert to fraction form
    9,727.84/13,427.40 = 6,584/x
  3. Step 3: Cross multiply
    9,727.84x = 13,427.40 × 6,584
  4. Step 4: Simplify right side
    9,727.84x = 88,406,001.60
  5. Step 5: Solve for x
    x = 88,406,001.60/9,727.84
  6. Step 6: Final answer
    x = 9,087.94

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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.