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Finding the Fourth Proportional to 6,491.76, 9,777.54 and 6,035.48

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Solution

The fourth proportional to 6,491.76, 9,777.54 and 6,035.48 is: 9,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.76 : 9,777.54 = 6,035.48 : x
  2. Step 2: Convert to fraction form
    6,491.76/9,777.54 = 6,035.48/x
  3. Step 3: Cross multiply
    6,491.76x = 9,777.54 × 6,035.48
  4. Step 4: Simplify right side
    6,491.76x = 59,012,147.12
  5. Step 5: Solve for x
    x = 59,012,147.12/6,491.76
  6. Step 6: Final answer
    x = 9,090.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.