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Finding the Fourth Proportional to 6,781.01, 9,362.14 and 4,655.85

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Solution

The fourth proportional to 6,781.01, 9,362.14 and 4,655.85 is: 6,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.01 : 9,362.14 = 4,655.85 : x
  2. Step 2: Convert to fraction form
    6,781.01/9,362.14 = 4,655.85/x
  3. Step 3: Cross multiply
    6,781.01x = 9,362.14 × 4,655.85
  4. Step 4: Simplify right side
    6,781.01x = 43,588,719.52
  5. Step 5: Solve for x
    x = 43,588,719.52/6,781.01
  6. Step 6: Final answer
    x = 6,428.06

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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.