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Finding the Fourth Proportional to 6,480, 9,722.88 and 3,020.16

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Solution

The fourth proportional to 6,480, 9,722.88 and 3,020.16 is: 4,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480 : 9,722.88 = 3,020.16 : x
  2. Step 2: Convert to fraction form
    6,480/9,722.88 = 3,020.16/x
  3. Step 3: Cross multiply
    6,480x = 9,722.88 × 3,020.16
  4. Step 4: Simplify right side
    6,480x = 29,364,653.26
  5. Step 5: Solve for x
    x = 29,364,653.26/6,480
  6. Step 6: Final answer
    x = 4,531.58

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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.