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Finding the Fourth Proportional to 6,507.64, 9,762.90 and 3,043

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Solution

The fourth proportional to 6,507.64, 9,762.90 and 3,043 is: 4,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.64 : 9,762.90 = 3,043 : x
  2. Step 2: Convert to fraction form
    6,507.64/9,762.90 = 3,043/x
  3. Step 3: Cross multiply
    6,507.64x = 9,762.90 × 3,043
  4. Step 4: Simplify right side
    6,507.64x = 29,708,504.70
  5. Step 5: Solve for x
    x = 29,708,504.70/6,507.64
  6. Step 6: Final answer
    x = 4,565.17

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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.