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Finding the Fourth Proportional to 6,888.50, 9,506.17 and 4,056

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Solution

The fourth proportional to 6,888.50, 9,506.17 and 4,056 is: 5,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.50 : 9,506.17 = 4,056 : x
  2. Step 2: Convert to fraction form
    6,888.50/9,506.17 = 4,056/x
  3. Step 3: Cross multiply
    6,888.50x = 9,506.17 × 4,056
  4. Step 4: Simplify right side
    6,888.50x = 38,557,030.59
  5. Step 5: Solve for x
    x = 38,557,030.59/6,888.50
  6. Step 6: Final answer
    x = 5,597.30

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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.