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Finding the Fourth Proportional to 7,158.94, 9,874.97 and 4,736.30

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Solution

The fourth proportional to 7,158.94, 9,874.97 and 4,736.30 is: 6,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.94 : 9,874.97 = 4,736.30 : x
  2. Step 2: Convert to fraction form
    7,158.94/9,874.97 = 4,736.30/x
  3. Step 3: Cross multiply
    7,158.94x = 9,874.97 × 4,736.30
  4. Step 4: Simplify right side
    7,158.94x = 46,770,820.41
  5. Step 5: Solve for x
    x = 46,770,820.41/7,158.94
  6. Step 6: Final answer
    x = 6,533.20

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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.