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Finding the Fourth Proportional to 6,681.51, 9,220.23 and 3,697.47

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Solution

The fourth proportional to 6,681.51, 9,220.23 and 3,697.47 is: 5,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.51 : 9,220.23 = 3,697.47 : x
  2. Step 2: Convert to fraction form
    6,681.51/9,220.23 = 3,697.47/x
  3. Step 3: Cross multiply
    6,681.51x = 9,220.23 × 3,697.47
  4. Step 4: Simplify right side
    6,681.51x = 34,091,523.82
  5. Step 5: Solve for x
    x = 34,091,523.82/6,681.51
  6. Step 6: Final answer
    x = 5,102.37

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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.