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Finding the Fourth Proportional to 6,948, 9,588.63 and 4,117.05

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Solution

The fourth proportional to 6,948, 9,588.63 and 4,117.05 is: 5,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948 : 9,588.63 = 4,117.05 : x
  2. Step 2: Convert to fraction form
    6,948/9,588.63 = 4,117.05/x
  3. Step 3: Cross multiply
    6,948x = 9,588.63 × 4,117.05
  4. Step 4: Simplify right side
    6,948x = 39,476,869.14
  5. Step 5: Solve for x
    x = 39,476,869.14/6,948
  6. Step 6: Final answer
    x = 5,681.76

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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.