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Finding the Fourth Proportional to 7,102.04, 9,801.24 and 3,915.33

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Solution

The fourth proportional to 7,102.04, 9,801.24 and 3,915.33 is: 5,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.04 : 9,801.24 = 3,915.33 : x
  2. Step 2: Convert to fraction form
    7,102.04/9,801.24 = 3,915.33/x
  3. Step 3: Cross multiply
    7,102.04x = 9,801.24 × 3,915.33
  4. Step 4: Simplify right side
    7,102.04x = 38,375,037.57
  5. Step 5: Solve for x
    x = 38,375,037.57/7,102.04
  6. Step 6: Final answer
    x = 5,403.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.