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Finding the Fourth Proportional to 6,479.64, 9,725.52 and 2,971.53

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Solution

The fourth proportional to 6,479.64, 9,725.52 and 2,971.53 is: 4,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.64 : 9,725.52 = 2,971.53 : x
  2. Step 2: Convert to fraction form
    6,479.64/9,725.52 = 2,971.53/x
  3. Step 3: Cross multiply
    6,479.64x = 9,725.52 × 2,971.53
  4. Step 4: Simplify right side
    6,479.64x = 28,899,674.45
  5. Step 5: Solve for x
    x = 28,899,674.45/6,479.64
  6. Step 6: Final answer
    x = 4,460.07

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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.