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Finding the Fourth Proportional to 7,300.40, 10,073.64 and 4,156.64

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Solution

The fourth proportional to 7,300.40, 10,073.64 and 4,156.64 is: 5,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.40 : 10,073.64 = 4,156.64 : x
  2. Step 2: Convert to fraction form
    7,300.40/10,073.64 = 4,156.64/x
  3. Step 3: Cross multiply
    7,300.40x = 10,073.64 × 4,156.64
  4. Step 4: Simplify right side
    7,300.40x = 41,872,494.97
  5. Step 5: Solve for x
    x = 41,872,494.97/7,300.40
  6. Step 6: Final answer
    x = 5,735.64

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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.