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Finding the Fourth Proportional to 9,656.64, 14,480.64 and 4,464

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Solution

The fourth proportional to 9,656.64, 14,480.64 and 4,464 is: 6,694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.64 : 14,480.64 = 4,464 : x
  2. Step 2: Convert to fraction form
    9,656.64/14,480.64 = 4,464/x
  3. Step 3: Cross multiply
    9,656.64x = 14,480.64 × 4,464
  4. Step 4: Simplify right side
    9,656.64x = 64,641,576.96
  5. Step 5: Solve for x
    x = 64,641,576.96/9,656.64
  6. Step 6: Final answer
    x = 6,694.00

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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.