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Finding the Fourth Proportional to 6,275.36, 9,407.52 and 2,380

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Solution

The fourth proportional to 6,275.36, 9,407.52 and 2,380 is: 3,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.36 : 9,407.52 = 2,380 : x
  2. Step 2: Convert to fraction form
    6,275.36/9,407.52 = 2,380/x
  3. Step 3: Cross multiply
    6,275.36x = 9,407.52 × 2,380
  4. Step 4: Simplify right side
    6,275.36x = 22,389,897.60
  5. Step 5: Solve for x
    x = 22,389,897.60/6,275.36
  6. Step 6: Final answer
    x = 3,567.91

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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.