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Finding the Fourth Proportional to 6,201.77, 9,302.65 and 5,808.11

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Solution

The fourth proportional to 6,201.77, 9,302.65 and 5,808.11 is: 8,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.77 : 9,302.65 = 5,808.11 : x
  2. Step 2: Convert to fraction form
    6,201.77/9,302.65 = 5,808.11/x
  3. Step 3: Cross multiply
    6,201.77x = 9,302.65 × 5,808.11
  4. Step 4: Simplify right side
    6,201.77x = 54,030,753.46
  5. Step 5: Solve for x
    x = 54,030,753.46/6,201.77
  6. Step 6: Final answer
    x = 8,712.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.