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Finding the Fourth Proportional to 6,888.74, 9,506.56 and 3,745.00

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Solution

The fourth proportional to 6,888.74, 9,506.56 and 3,745.00 is: 5,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.74 : 9,506.56 = 3,745.00 : x
  2. Step 2: Convert to fraction form
    6,888.74/9,506.56 = 3,745.00/x
  3. Step 3: Cross multiply
    6,888.74x = 9,506.56 × 3,745.00
  4. Step 4: Simplify right side
    6,888.74x = 35,602,000.94
  5. Step 5: Solve for x
    x = 35,602,000.94/6,888.74
  6. Step 6: Final answer
    x = 5,168.14

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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.