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Finding the Fourth Proportional to 6,557.32, 9,840 and 2,661.76

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Solution

The fourth proportional to 6,557.32, 9,840 and 2,661.76 is: 3,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.32 : 9,840 = 2,661.76 : x
  2. Step 2: Convert to fraction form
    6,557.32/9,840 = 2,661.76/x
  3. Step 3: Cross multiply
    6,557.32x = 9,840 × 2,661.76
  4. Step 4: Simplify right side
    6,557.32x = 26,191,718.40
  5. Step 5: Solve for x
    x = 26,191,718.40/6,557.32
  6. Step 6: Final answer
    x = 3,994.27

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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.