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Finding the Fourth Proportional to 6,565.02, 9,824.40 and 4,101

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Solution

The fourth proportional to 6,565.02, 9,824.40 and 4,101 is: 6,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.02 : 9,824.40 = 4,101 : x
  2. Step 2: Convert to fraction form
    6,565.02/9,824.40 = 4,101/x
  3. Step 3: Cross multiply
    6,565.02x = 9,824.40 × 4,101
  4. Step 4: Simplify right side
    6,565.02x = 40,289,864.40
  5. Step 5: Solve for x
    x = 40,289,864.40/6,565.02
  6. Step 6: Final answer
    x = 6,137.05

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